VI Update

USVI Public Records

A VI Update Project · Brian LoudenThe territory’s public record — kept public.

ERIC ED271506: Virgin Islands of the United States Public School Basic Skills Achievement Survey. Technical Report #4. Summation and Recommendations.

Collection
Historical Records
Sub-shelf
Internet Archive (V.I. texts)
Kind
Historical Record
Island
St. Thomas
Date
1984-01-01
Pages
33
Text
Native Text

DOCUMENT RESUME ED 271 506 TM 860 416 AUTHOR Bliss, Leonard B. TITLE Virgin Islands of the United States Public School Basic Skills Achievement Survey. Technical Report #4. Summation and Recommendations. PUB DATE May 84 NOTE 33p.; For technical reports 1-3, see ED 227 150, ED 243 964, and ED 267 120. PUB TYPE Reports - Research/Technical (143) EDRS PRICE MF01/PCO2 Plus Postage. DESCRIPTORS *Academic Achievement; *Basic Skills; Elementary Secondary Education; English; *Item Analysis; Language Skills; Mathematics Skills; Public Schools; Reading Skills; Reading Tests; Regional Dialects; Sampling; *Standardized Tests; *Test Reliability; *Test Validity IDENTIFIERS Stanford Achievement Tests; Test of Academic Skills; *Virgin Islands ABSTRACT A sample of slightly over 1,500 students drawn from even-numbered grades in public schools of the U.S. …

Download the original document · Plain text (TXT) · Browse the archive · How this archive works

Original source: https://archive.org/download/ERIC_ED271506/ERIC_ED271506.pdf

SHA-256 c7e891a46574dd87a7d80d792992aa88a05373d5ce2d47935e9376754986f5b5

Re-using this document

mixed and recorded per item: public domain by age or as a US government work for what was taken; controlled-digital-lending and restrictively licensed items EXCLUDED, each listed with its reason

Our description, tagging, arrangement, extracted text and machine transcripts are released under CC0 1.0. We assert nothing about the document itself.

Archive identifier LF-c7e891a46574

Document text

DOCUMENT RESUME ED 271 506 TM 860 416 AUTHOR Bliss, Leonard B. TITLE Virgin Islands of the United States Public School Basic Skills Achievement Survey. Technical Report #4. Summation and Recommendations. PUB DATE May 84 NOTE 33p.; For technical reports 1-3, see ED 227 150, ED 243 964, and ED 267 120. PUB TYPE Reports - Research/Technical (143) EDRS PRICE MF01/PCO2 Plus Postage. DESCRIPTORS *Academic Achievement; *Basic Skills; Elementary Secondary Education; English; *Item Analysis; Language Skills; Mathematics Skills; Public Schools; Reading Skills; Reading Tests; Regional Dialects; Sampling; *Standardized Tests; *Test Reliability; *Test Validity IDENTIFIERS Stanford Achievement Tests; Test of Academic Skills; *Virgin Islands ABSTRACT A sample of slightly over 1,500 students drawn from even-numbered grades in public schools of the U.S. Virgin Islands (USVI) were given the 1973 edition of the Stanford Achievement Test (grades 2, 4, 6, and 8) and the Test of Academic Skills (grades 10 and 12) in an attempt to assess student academic achievement in the basic skill areas of mathematics, reading, and English language. This report summarizes the results of this study which were reported in detail in three previous technical reports. The tests were found to be content valid and reliable when administered to students in USVI public schools, even though the tests were designed for curricula used in the continental United States and were standardized using a sample of examinees attending continental U.S. schools. Item analysis revealed differences between the local and standardization samples based on the cognitive complexity of items on all subtests of the batteries which were administered. There were also indications of effects of local dialects on responses to the language subtests at all levels. Finally, the data indicated that most students were unable to complete the reading comprehension subtests in the standard time allotted. (Author/LMO) **********************************************************i************ Reproductions supplied by EDRS are the best that can be made from the original document. *********************************************************************** O oo LA r--i f- Virgin Islands of the United States Public School Basic Skills C:) Achievement Survey 1AJ Technical Report 14 Summation and Recommendations Leonard B. Bliss, Ph.D. Caribbean Research Institute College of the Virgin Islands St. Thomas, U.S. Virgin Islands 00801 U.S. DEPARTMENT OF EDUCATION Office of Educational Research and Improvement EDUCATIONAL RESOURCES INFORMATION CENTER (ERIC) >4 Tots document has been reproduced as received from the person or organization originating it. e O Minor changes have been made to improve reproduction quality. Points of view or opinions stated in this dOCtr ment do not necessarily represent official OERI position or policy May 1984 "PERMISSION TO REPRODUCE THIS MATERIAL HAS BEEN GRANTED BY L.R. 3lics TO THE EDUCATIONAL RESOURCES INFORMATION CENTER (ERIC)." 2 BEST COPY AVAILABLE e'"MTMTrIM.7.7.tt, .., ....,...... . , _ ,, A sample of slightly over 1500 students was drawn from even numbered grades in public schools of the U.S. Virgin Islands and these students were given the 1973 edition of the Stanford Achievement Test (in grades 2, 4, 6, & 8) and the Test of Academic Skills (grades 10 and 12) in an attempt to assess stu- dent academic achievement in the basic skill areas of mathematics, reading, and English language. This report summarizes the results of this study which were reported in detail in three previous technical reports. The tests were found to be content valid and reliable when administered to students in USVI public schools even though the tests were designed for curricula used in schools in the continental United States and were standardized using a sample of examinees attending continental U.S. schools. Item analysis revealed differences between the local and standardization samples based on the cognitive complexity of items on all subtests of the batteries which were administered. There were also indications of effects of local dialects on responses to the language subtests at all levels. Finally, the data indicated that most students were unable to complete the reading comprehension subtests in the standard time allotted. BEST COPY AVAILABLE It has almost become a matter of faith that achievement in basic skills (i.e. English language and mathematics) in public schools under the American flag has deteriorated over the past twenty years. Proponents of this idea point to evidence as formal as decreases in typical scores on the Scholastic Aptitude Test and standardized tests of academic achievement and as informal as the writing and arit:Imetic skills they perceive in the young people around them. The National Commission on Excellence in Education has told us, "Our nation is at Risk. Our once unchallenged preeminence in commerce, industry, science, and technological innovation is being overtaken by competitors throughout the world. . . .If an unfriendly foreign power had attempted to impose on America the mediocre educational performance that exists today, we might have well viewed it as an act of war" (1983, P. 5). Boyer (1983), in a report commissioned for the Carnegie Foundaton, echoes this concern, less alarmist tone. The reactions of people to this perceived phenomenon if in a somewhat are also varied. On the government level they include the requirement that all students score a minimum grade on a test of basic skills in order to receive a high school diploma; that teachers pass a similar test to obtain teacher certification; and that schools require students to take additional course work in basic skills areas. In addition, federal, state, and local governments have initiated programs to provide support in the forms of grants and technical assistance to schools at all levels to do research and set up programs designed to improve student achievement in basic 2 4 skills areas. At a different level, parents, concerned that public schools are.not doing an adequate job in preparing their children in the basic skills, are choosing, in increasing numbers, to remove their children from public schools and are placing them in religious and secular private schools. While there are other reasons for this proliferation of private schodls besides the purely academic, the desire for high quality academic preparation is one compelling cause of this phenomenon. The public schools, themselves, have reacted strongly to this crisis in public confidence. These reactions include an increase in required courses in the language and mathematics areas with a corresponding decrease in electives in areas considered less "basic." Projects to revise curricula in basic skills areas proliferate and are receiving more support than they have received since the reevaluation of American education engendered by the shock of Sputnik in the late 1950's. Improving'basic skills achievement was a concern of the Department of Education of the government of the Virgin Islands of the United States when it approached the College of the Virgin Islands to provide aid in improving such instruction. In an effort to provide this service, the Caribbean Research Institute, the college's research arm, worked with a task force composed of representatives from the Department of Education and CRI to determine a course of action. It became clear after the first few task force meetings that the development of any strategy designed to improve basic skills achievement needed to start off with a fairly detailed 3 5 BEST COPY AVAILABLE description of current achievement levels of students in territorial schools. This information was not available since the school system had no program of standardized testing in place. Various published achievement tests from the continental United States were administered from time to time at the discretion of building principals, but the test used and the time of testing were at the whim of these *administrators and the records kept of these results were rather haphazard. The Iowa Test of Basic Skills was administered, system wide, to sixth graders, but some building administrators often refused to have these tests administered in their schools and there were years, due to fiscal constraints, when the tests were not given, at all. Even the scores obtained were of little use since they were reported out in norm referenced form based on U.S. national and local norms and provided no information as to the particular skills students posessed or lacked. Finally, none of the tests used had been validated using local students and there was a strong feeling that cultural and curricular differences between mainland U.S. and U.S. Virgin Islands students and schools rendered the reliability and validity of these scores questionable. There were no standardized tests of academic achievement administered on the secondary level anywhere in the territory's public schools. This problem is not unique to the U.S. Virgin Islands. The widespread use of standardized achievement testing in the English speaking Caribbean has posed a series of problems for educators in this area of the world. Not the least of these problems 4 involves the reliability of scores obtained from students to whom these tests are administered. During the colonial period, curriculum was imported, as a more or less complete package, from the mother country, complete with form examinations which were designed and standardized over- seas. Local school people had little or no autonomy in terms of curriculum or evaluation procedures. With the coming of indepen- dence or increased local control of internal affairs and the emergence of most of these former colonies into nationhood, this control has disappeared and national or local ministries and departments of education now play the major role in determining the curriculum, including evaluation procedures, which will be used in their schools. While most of these jurisdictions still hold strong emotional and cultural ties to their former or present mother countries, there are strong pressures for their educational systems to move toward more independent, locally relevent curricula with the accountability this type of movement would dictate. Valid and reliable tests of achievement are a necessary component of this accountability. The use of standardized, commercially published achievement tests offers much to recommend them as instruments toward meeting the goal of high standard evaluation. The items on these tests tend to be technically superior to those found on informal tests. They have gone through a series of trials and revisions and have met standards of clarity and precision that tend to be high and well defined. In addition, much is known about typical performances of students in a particular population when they are administered these tests. Also, test publishers go to great 5 BEST COPY AVAILABLE efforts' to determine the curriculum used in the target population schools and to include items which constitute a representative sample of the cognitive objectives in the curriculum at these institutions. Finally, machine scoring is usually available for these tests and results may be reported out either in criterion referenced form or norm referenced based on a reasonably well defined population. It is in these latter two areas that English speaking Caribbean jurisdictions find major difficulties. Published stan- dardized tests of achievement are standardized using non- Caribbean peoples. This is not supprising considering the small populaton of the area and the resulting small markets for such tests. The costs of producing high quality tests are extremely high and publishers must look toward large markets when planning new tests and revisions of prexisting examinations. As a result of this, it is hard for people involved in decision making at Caribbean ministries and departments of education to be confident that a given test or series of tests evaluates a representative sample of the objectives in their curricula, i.e. that the test is content valid. Additionally, while the items used on standardized achievement tests seem to function well for examinees in the population from which the standardization sample was drawn, there may be some justifiable concern about whether or not these items will function in a similar manner when administered to Caribbean students since these students were not part of the population from which the standardization samples were drawn (generally 6 BEST COPY AVAILABLE populations of students in the continental United States, the United Kingdom, or Canada). Given the possibility of cultural factors affecting test taking performance, Caribbean decision makers might well be justified in being hesitant to accept the results of standardization procedures reported by the publishers of these tests. An obvious solution to this this dilemma is for each.-ministry and department of education to develop and standardize a set of achievement tests appropriate for the content of its curriculum and the test taking characteristics of its students, keeping in mind the need to create alternative forms of these tests and the need to update them, periodically. While this may initially appear to be a workable procedure, the costs in time and money are probably beyond the resources of most of these educational systems. In addition, the technical expertise required to carry out such an effort would most likely be unavailable locally and the importing of persons from the outside prohibitively expensive and undesirable in other ways. A second solution would be convincing commercial test publishers to produce achievement tests which were content valid for local curricula and standardized on the local population of students. It seems unlikely that this effort would bear any fruit based on geogaphical considerations and the relatively small market that would be available for such tests. The U.S. Virgin Islands researchers developed a third alternative to solving the problem of obtaining valid and reliable scores on achievement tests that might also be applicable to other areas of the English speaking Caribbean. 7 This alternative is based on the assumption that while there may have been changes in curriculum with the development of greater internal control or political independence, most Caribbean states retain much of the educational structure that existed during the period of greater outside control due to strong emo- tional and cultural ties to the larger country and the usual strong conservative predisposition of educational systems in most democratic countries. These are not unreasonable assumptions and the latter is supported by the facts that most high level school officials involved in decision making capacities at ministries and departments of education in the Caribbean received all or part of their training in American, British, or Canadian colleges and universities, and that most of the texts used in the English speaking Caribbean are published in these three countries. The latter is particularly important in light of the fact that, in most classrooms, the content of the curriculum is determined primarily from the content of the text book or books being used. Under these assumptions, the alternative proposes that published standardized tests used and standardized in school systems similar to those in question be examined, first to deter- mine the content validity of these tests given the curriculum in the local school system, and then to establish the reliability of scores and the test taking behaviors of a representative sample of local students in order to determine the appropriateness of the chosen test. Finally, if the test appears to function well for the population of local students, adjustments to the test items and/or test taking instructions can be made based on the 8 BEST COPY AVAILABLE 10 LS ,frxrcrelmr^-117rMril results of the local validation study before the test is placed in use on a system wide basis. Based on these assumptions, the task force decided to test the appropriateness of an achievement test of basic skills de- vised and standardized in the continental United States when it was administered to students in the U.S. Virgin Islands public schools. The Virgin Islands of the United States is an unincor- porated territory of the U.S. comprising some 50 islands and cays in the Caribbean Sea. The two largest islands, St. Thomas and St. Croix, are separated by 40 miles. The island of St. John lies three miles east of St. Thomas. The total land mass of the territory is 132 square miles. Only the three largest islands have a sizable permanent population, estimated at about 120,000. This is augmented by a transient population of almost one million tourists each year. Of the permanent population, approximately 80% are of West Indian heritage, either having been born in the U.S. Virgin Islands or having immigrated froLq other islands in the Lesser Antilles. St. Croix has a significant Hispanic popu- lation, originally from Puerto Rico and its smaller islands of Vieques and Calebra. The official language of the territory is English with many persons speaking a patois derived from English, Dutch, and French at home and in informal circumstances. The K-12 populaton of the public schools is approximately 25,000 with education being compulsory from age six to sixteen. Standard English is the language of instruction. The population of students attending USVI public school is primarily West Indian and Hispanic. Approximately 941 of students attending are entitled to free lunch under the U.S. Department of Agriculture's 9 BEST COPY AVAILABLE 11 1 school lunch program. The vast majority of residents from the continental U.S. and other middle socioeconomic status families send their children to one of the many private day schools in the territory. Although it is separated from the U.S. mainland by 1100 miles of ocean, the USVI is hardly isolated. The three local television stations broadcast network television (including PBS) and television stations from Atlanta, Chicago, and New York are available on cable television. New York and Miami newspapers are available on a same day basis and U.S. magazines are available on a regular basis. Nor is the school system curricularly isolated. Most basic skills curriculum is imported, intact, from the continental United States. Reading is taught using the Ginn 720 series and mathematics using the series published by Silver- Burdette, Co, for instance. English grammar is taught using the time honored series by Warriner and literature texts published by mainland U.S. publishers are used in both elementary and secondary schools. Teachers in the public school system tend to have been trained primarily at the College of the Virgin Islands, the territory's public land grant college, or at mainland U.S. colleges and schools of education. The former provides a standard U.S. college curriculum with a traditional program of teacher education. Given these similarities in curriculum and teacher preparation, and the degree of communication with the continental U.S., the task force agreed to choose, attempt to validate, and 10 BEST COPY AVAILABLE 12 7p7ImmrTc...mm.mmTm7.7.0.ws.r10011 use a standardized test of basic skills which had been published in the mainland U.S. and used in mainland U.S. schools. The Instrument In choosing a test battery to be validated on U.S. Virgin Islands students, the following criteria were used: 1) The test needed to be technically sound in terms of reliability and item descrimination, at least for the population which it had been standardized on. 2) The test needed to be content valid for U.S. Virgin Islands public school students. That is, the test needed to contain items which tested a representative sample of the content and behaviors actually taught at various levels in the USVI public schools. 3) The test publishers needed to include a detailed description of the objectives tested while providing an item by objective keying procedure. 4) Scores which indicated students' performances relative to each objective needed to be available. That is, criterion referenced scoring was a requirement. The 1973 version of the Stanford Achievement Test and the Test of Academic Skills was chosen as the test battery which best appeared to meet the above criteria. Validation Procedure Sampling The June 1, 1980 enrollment in the public schools in the Virgin Islands of the United States was 25,426 according to the statistics issued by the USVI Department of Education. It was clear that testing this number of students was economically unfeasible. The preferred alternative would have been to generate a random sample of students in grades K-12 to be tested, but it was equally clear that this would have produced an intolerable disruption of classroom activities. Therefore, in an attempt to obtain a representative sample of students, cluster sampling was used with the clusters being defined as classes. The number of classes to be selected for the sample from each grade in each of the St. Thomas/St. John and the St. Croix school districts was determined by calculating the proportion of the total K-12 student population in each grade in each district and assuming a class size of 30 in the elementary schools and 27 in the secondary schools. Selecting whole classes presented an additional difficulty. The small number of classes selected in each grade might have made obtaining a representative sample of students more difficult. This is due to the fact that while classes in a given elementary school may be heterogeneous, the schools themselves are not. This is because elementary schools in the U.S. Virgin Islands ;pre essentially neighborhood schools. Virgin Islands neighborhoods tend to be homogeneous in terms of socioeconomic status of residents. To overcome this problem, it was decided to increase the number of classes tested in a given grade (thereby increasing the number of schools within the territory from which these classes came) without increasing the total number of students tested by testing at alternate grades. This seemed acceptable since many of the objectives tested by the Stanford Achievement Test carry across adjacent levels of the test and there was no reason to suspect that the patterns of academic achievement of students in even numbered grades were different from those in odd numbered grades. Classes in grades 2, 4, 6, 8, 10, and 12 were given the test. Bliss (1982a) describes this procedure in detail and comments on the effects of sampling classes rather than individual students. Table 1 presents the number of students tested at each grade level in each school district. Table 1 U.S. Virgin Isands Sample Sizes Grade Test Level Total System STT/STJ District STX District 12 TASK II 129 74 55 10 TASK I 254 167 87 8 Advanced 345 173 172 6 Intermediate II 227 146 81 4 Primary III 346 186 160 2 Primary I 234 143 91 TOTALS 1535 889 646 Table 2 presents a description of each of the batteries of the Stanford Achievement Test which was administered at each grade level. 13 15 Table 2 Stanford Subtests Administered at Each Grade Level Grade Subtest Number of Items Grade 12 Reading 78 (TASK II Level) Mathematics 48 English 69 Grade 10 Reading 78 (TASK I Level) Mathematics 48 English 69 Grade 8 Vocabulary 50 (Advanced Level) Reading Comprehension 74 Mathematics Concepts 35 Mathematics Computation 45 Mathematics Applications 40 Spelling 60 Language 80 Grade 6 Vocabulary 50 (Intermediate II Reading Comprehension 71 Level) Mathematics Concepts 35 Mathematics Computation 45 Mathematics Applications 40 Spelling. 60 Word Study Skills 50 Language 80 Grade 4 Vocabulary 45 (Primary III Level) Reading Comprehension 70 Word Study Skills 55 Mathematics Concepts 32 Mathematics Computation 36 Mathematics Applications 28 Spelling 47 Language 55 Grade 2 Vocabulary 37 (Primary I Level) Reading Comprehenson 87 Word Study Skills 60 Mathematics Concepts 32 Mathematics Computations 32 Listening Comprehension 26 Testing Procedures Testing was done at the grade level recommended by the test publisher. This was done primarily to insure the content validity of the examinations. Tests were administered by classroom teachers or guidance counselors, at the discretion of building administrators. Each person who was to administer tests attended a two hour training session at either the College of the Virgin Islands St. Thomas or St. Croix campuses. During this time the purpose of the testing was explained, the test and instruction manual were reviewed, a testing schedule was distributed and reviewed, and testing materials were distributed. These included a practice test to be given to students in grades 2, 4, and 6 the day prior to the first day of testing in order to give these students experience in reading and answering items on this type of test. Answer sheets were sent off island to be machine scored. Content validity The content validity of the various levels of the Stanford Achievement Test was determined using the following strategies: 1) Collection of written curriculum guides used in the public schools. The objectives explicitly stated or implicitly inferred in these documents were compared with the lists of objectives tested provided by the test publisher. 2) Text books used in the teaching of basic skills subject matter were collected from selected schools. Stated and implicit objectives in these texts were compared with the test publisher's objectives. 3) The test objectives were shown to elementary and 15 secondary subject area supervisors who were asked to determine the degree of match between those objectives and what was taught at the indicated grade levels. 4) Selected building principals in St. Thomas were asked to review the objectives of the test and give their opinions concerning the degree of match between these objectives and the objectives taught toward in their schools. 5) Teachers who administered the tests in their classrooms were asked to review the test publisher's objectives and to determine the degree of match between these objectives and-the basic skills they expected their students to have obtained. Using these techniques, the researchers were satisfied that the test did, indeed, test a sample of objectives that was consistent with the objectives used in teaching in the public schools of the Virgin Islands of the United States. Reliability Kuder-Richardson 20 estimates of internal consistency were calculated for each test of each battery for the entire USVI sample and the subsamples from each of the two school districts. It was noted that, in most cases, the variances of the raw scores obtained by the USVI sample of students were considerably lower than those reported for the standardization group. This is not an uncommon phenomenon and is commonly found when testing samples drawn from populitions composed largely of persons from low socioeconomic status homes. Since the reliability of a test is partially dependent on the heterogeneity of the scores obtained (the greater the spread of 16 18 scores, the higher the reliability), the local scores were adjusted for homogeneity using a procedure described by Allen and Yen (1979). See Bliss (1982a) for details of this procedure. There needed to be a criterion for making decisions regarding the acceptability of the adjusted reliability estimates. The Stanford Achievement Test is considered to have more than acceptable reliability when administered to the population of examinees upon which it was standardized (i.e. continental U.S. students). Among the indications of this are numerous reviews of the test in the literature (Kasdon, 1974; Lehmann, 1975; Chase, 1978; Ebel, 1978; Thorndike, 1978) and the fact that it is widely used in the schools. However, the literature is replete with studies which indicate that standardized tests of academic achievement tend to produce less reliable scores when administered to students from low socioeconomic status homes and to those who are culturally different from the majority of those on whom the test was normed (see reviews and discussions in Anastasi, 1958; Tyler, 1956; and Deutsch, 1960). Therefore, if the reliability estimates obtained from a sample of U.S. Virgin Islands students who took the Stanford Achievement Test are at least equal to the reliability estimates obtained from the standardization samples, it is reasonable to conclude that the test scores are reliable indicators of academic achievement for these students. For each adjusted reliability estimate obtained from the USVI sample, a reliability difference was found by subtracting the standardization group's reliability estimate from the local group reliability estimate. The median reliability difference across 17 all tests for all grades was -.002 with a range from -.06 to +.02 with the distribution somewhat negatively skewed. When Z transformations were used to normalize the distribution of the reliability estimates, t-tests revealed two subjects out of the total 36 examined where the local sample reliability estimates . were significantly lower than those of the standardization group at the p..05 level (see Bliss, 1982a). This is approximately the number that would be exp&cted by chance. The standard errors of measurement (which are not affected by the variances of the scores) were treated in a similar manner and it was found that there were only three out of 36 standard error estimates which were significantly higher than those obtained from the standardi- zation sample. Item discrimination The item discrimination index indicates the degree to which responses on one item are related to responses on other items of the test. The statistic indicates whether a person who does well on the test as a whole (that is, a person who is presumably high on the trait being measured) is more likely to get a particular item correct than a person who does poorly on the test as a whole. In other words, the item discrimination index indicates whether an item discriminates between those who do well and do poorly on the test as a whole. Taking the item difficulty and the item discrimination index into consideration, the developers of tests desire to construct tests which discriminate well among examinees with varying levels of a trait. 18 20 The item discrimination index is calculated by the formula d= (U-L)/N where U. the number of examinees who have total test scores in the upper range of total test scores and who also have the item correct. L. the number of examinees who have total test scores in the lower range of total test scores and who also have the item correct. N. the number of examinees in the upper or lower range of the test scores. By definition, d is the difference between the proportion of high scoring examinees who got the item correct and the proportion of low scoring examinees who got the item correct. The upper and lower ranges generally are defined as the upper and lower 10% to 33% of the sample, with examinees ordered on the basis of their total test score. When total scores are normally distributed, using the upper and lower 27% produces the best estimate of d (Kelly, 1939). If the distribution of totai test scores is flatter than the normal curve, the optimum percentage is larger and approaches 33%. However, Allen and Yen (1979) found that, for most applications, any percentage between 25 and 33 will yield similar estimates of d. In this study, 2796 was used as the upper and lower percentages because examination of selected dis- tributions of actual test scores revealed nearly normal distribu- tions. The theoretical range of d is between -1 and +1. However, maximum discrimination is likely to occur when the difficulty index equals .50. When p =.50 the variance in item scores, which 19 j is p(1p), is maximized. As an item becomes more difficult, it is less likely that any student will score correctly on it. As it becomes less difficult it is more likely that any student will get it correct. This could lead to the suggestion that all items have p=.50, but the usefulness of this suggestion is mitigated by intercorrelations among items. In an extreme case, if the items on a test all intercorrelated perfectly and had difficulties of 0.50, half the examinees would receive a total test grade of zero and the other half would have perfect test scores. Hence, there would be no fine distinctions between examinee's levels of achievement on whatever trait is being measured. In general, test designers try to choose items with a range of difficulties that average around .50. Items of particularly low difficulty are often included for motivational reasons. Item discrimination indices were calculated in this study to provide indications that items may be flawed when used with USVI students. Such flaws are ambiguity, the presence of clues, the presence of more than one correct answer, and other technical defects. If none was found upon examination of the item, and it was determined that the item did, indeed, appear to measure the objective it was intended to, the item was included in the overall analysis of the results. Any item that discriminates positively can make a contribution to the measurement of pupil achievement and low indices of discrimination are frequently obtained for reasons other than item defects. Standardized achievement tests are designed to measure several different types of learning outcomes (e.g. knowledge, 20 understanding, application, etc.). Where this is the case, the test items that represent an area receiving relatively little emphasis will tend to have poor discriminating power. For example, if a test has forty items measuring knowledge of specific facts and ten items measuring understanding, the latter items can be expected to have low discrimination indices. This is because the items measuring understanding have less representation in the total test score and there is typically a low correlation between measures of knowledge and measures of understanding. Low discrimination indices here merely indicate that these items are measuring something different from what the major part of the test is measuring. Removing such items from the test would make it a more homogeneous measure of knowledge out- comes, but it would also damage the content validity of the test because it would no longer measure objectives in the under- standing area. Since achievement test batteries need to measure a wide variety of objectives in a reasonably short period of time, they tend to be fairly heterogeneous in nature and moderately low discrimination indices tend to be the rule rather than the exception. To summarize, a low discrimination index alerts test users to the posible presence of defects in test items, but does not cause them to discard these items if they appear to be functioning as they should. A well constructed achievement test will, of necessity, contain items with low discriminating power and to discard them would result in a test which is less, rather than more, valid. Due to these considerations, in this study items were examined if they had discrimination indices lower than .20. This is a rather conservative criterion e.incP items that discriminate as low as this may provide useful information, but given the unknown test taking characteristics of USVI students, it was decided to be particularly cautious in the item analysis. For the most part, items which did not discriminate satisfactorily tended to be those which had extremely high or low difficulty indices (i.e. items which the local sample of students found either very easy or very difficult). In no case did the items seem ambiguous or discriminate negatively. Student Skills and Test Taking Behaviors Bliss (1982b) reports the level of specific basic skills attained by Virgin Islands secondary public school students in the sample of students tested in this study. The same information for public elementary school students is presented in a later document (Bliss, 1984). These reports provide indices of discriminaton for each item in each battery of the tests in all grades as well as difficulty indices and lists of items by objectives which point out areas of weakness and strength in basic skills areas for the sample of Virgin Islands public school students. Included in the reports are the criteria used to determine satisfactory discrimination indices and definitions of high, satisfactory, and poor achievement. These documents are available from the Caribbean Research Institute at the College of the Virgin Islands. Level I and Level II 011ectives A close look at the difficulty indices tended to disclose a consistent pattern. There appeared to be a set of skills and knowledges which the students in the USVI sample were able to master at levels comparable to students in the standardization sample. From grades 2 through 12, the proportions of students scoring correctly on items testing these skills and knowledges tended to be as high or higher than the proportion of students in the standardization sample. A second set of skills and knowledges seemed to exist which the USVI sample of students appeared to be consistently less successful in mastering than the examinees in the standardization group. The Taxonomy of Educational Objectives (Bloom, 1956) appears to provide a conceptual hook for understanding these two item groups. The vast majority of items in the first group appear to test objectives which would be classified in the lower three levels of the taxonomy (i.e. knowledge, comprehension, and application). These include items which require students to spell, compute solutions to mathematical equations using simple algorithms, solve simple, one step mathematical problems to which an algorithm can be directly applied, and to determine explicit meaning in written passages. Most items in the second group appear to test objectives which could be classified in the upper three levels of the taxonomy (i.e. analysis, synthesis, and evaluation). These items require students to solve multistep mathematical word problems, determine relationships, make choices concerning appropriate language useage from context, and determine global, contextual, and inferential meaning from written passages. These findings seem consistent with those of Jensen (1968) concerning the interaction of socioeconomic status { and Level 1 and Level Il abilities. Jensen noted that there were socioeconomic differences in students' abilities to master objectives which would be classified in the three higher levels of the taxonomy (Level II abilities) with non-middle class students having greater difficulty mastering these objectives than students from middle class homes. There were no differences between these two groups of students in their abilities to master objectives in the three lower catagories of the taxonomy (Level I abilities). Table 3 provides a breakdown of the proportions of examinees scoring correctly on items testing Level land Level II abilitities for subtests in the batteries given to examinees in grades 2, 6, and 10 as illustrations of this phenomenon. The fact that most USVI public school children come from non - middle class homes while middle class students were represented in the standardization sample tends to support this model as an explanation for these findings. 24 26 BEST COPY AVAILABLE Language In the area of language useage, it was noted that the responses of many students were consistent with the grammar and syntax of the local dialect. This included the dropping of plurals, the confusing of the nomative and objective forms of pronouns with the overuse of the nomative form, the dropping of the indefinite article with the overuse of the definite article, and the dropping of past tenses of verbs. This phenomenon was observed across all grades and is significant since the language of instruction in the schools is officially standard English and the objectives of the school call for instruction in the use of standard English with absolutely no instruction in the use of dialect. Omitted responses of the readin.g test Finally, an examination of the proportions of omitted responses for each item indicated that for all subtests except reading comprehension, examinees had sufficient time to attempt all items when the time recommended by the test publisher was allowed for completion of the subtest. On the reading comprehension subtest,it was noted that examinees in grades 6 through 12 showed proportions of omits which tended to increase steadily after about the twentieth item on each test with more than 50% of the examinees omitting the last 15 or so items on the tests. Figure 1 shows this phenomenon graphically for grade 8 examinees. A number of explanations for this phenomenon are being considered. The first of these suggests that the students in the local sample are more deliberate readers than their counterparts in the continental United States. They, therefore, read more 26 27 r 0 e A Figure 1 Proportions of Omitted Responses on the Readi: , Comprehension Test For Grade 8 Exaniness Item litnther 27 slowly and do not skim passages to be read. A second is that local examinees have a lower attention span and simply stop taking the test after a certain point and before the end of the testing period. Both of these are rendered plausible by the fact that this phenomenon is not observed in grade 2 where the ques- tions are asked orally by the examiner and the test is divided into two periods, a day apart. Equally noteworthy is the fact that the phenomenon appeared only in the second half of the fourth grade reading test. The first half of the test consisted of a series of independent short answer items while the second consisted of the passage reading type used in the higher grades. Summation This document summarizes a series of reports on basic skills achievement in the public schools of the U.S. Virgin Islands. The series clearly documents the weakness and strengths of students in these schools and should be read as a totality before actions are taken. The plain truth of the matter is that in most basic skills areas, U.S. Virgin Islands students are not greatly different from their contintental U.S. counterparts and are, in fact, superior in such Level I skills as spelling and some areas of mathematics computation. Where they fall short seems to be in the area of Level II skills which require a series of operations and cannot be carried out by the memorizing of simple algorithms. Since the Stanford Achievement Test has shown itself to be a valid indicator of these skills and there is no reason to suspect 28 29 that U.S. Virgin Islands students are inately inferior in academic ability to students in the continental United States, the issues involved appear to be those of instruction. A number of suggestions for improving instruction in high level skills in the basic areas are presented below: 1) In order to teach higher level objectives, teachers have to have achieved these objectives, themselves. A program of testing for teachers and/or teacher applicants for new positions should be set in place in order to ascertain the proficiency of these educators in dealing with these higher level tasks. The results of this testing should not be used as criteria for hiring and firing, but rather as indications that certain teachers and/or teacher applicants require additional inservice work in order that they might develop these skills. The Department of Educa- tion should set up a progam in which teachers in need of these services might receive this training. The College of the Virgin Islands is an excellent vehicle for such training. 2) Curricula should be examined to determine whether all academic areas are teaching toward these higher level objectives. While the few written curricula located by the researchers seemed to indicate that these objectives are part of the curriculum and texts used in these classes seem to indicate that this is going on, more specific guidelines need to be established. 3) No curriculum is teacher proof! While curricula and text books seem to indicate that higher level objectives are being taught, there is no evidence that classroom practice actually fosters the development of these objectives. Supervisors need to visit classrooms regularly and consult with teachers to make 29 30 BEST COPY AVAILABLE certain that higher level objectives are being taught. In addition, examinations should test these objectives. Students soon learn that the important things to learn are the things which are tested. Teachers should make special efforts to objectively test higher level objectives on their classroom tests. Such objectives can be tested using objective items and the skills needed for constructing such tests can be taught during inservice workshops and at courses at the College of the Virgin Islands. Again, this is a matter of supervision. Supervisors must be sure that this teaching and testing is going on in the classrooms for which they have responsibility and should have the authority to assure that teachers who do not deal with these objectives are provided with the training necessary to allow them to do this as well as the authority to remove teachers who fail to accomplish this from the classroom. Finally, a brief call for educational excellence. Our students will be competing in a more and more complex world. While it is fine to know how to spell and to use proper syntax and grammar, it is at least equally important that these same students have something intelligent to say. 30 31 Referencen Allen, M.J. & Yen, W.M. (1979). Introduction to measurement theory. Monterey, CA: Brooks/Cole Publishing Co. Anastasi, A. (1958). Differential Psychology (3rd ed.). New York: Macmillan. Bliss, L.B. (1982a). Validation of the use of the Stanford Achie- vement Test with U.S.V.I. StuNts. Virgin Islands of the trifita Enes Basic SkiliirTiFiTiment Survey, Technical Report No. 1. Caribbean Research Institute, College of the irginTilands. .Paper presented at the Annual Meeting of the American Educational Research Association, New York. (ERIC Document Reproduction Service No. ED 227 150). Bliss, L.B. (1982b). Virgin Islands of the United States Public School Basic Skills Achl-F,TEFFIE-Survey. Technical Report #2: Item Analysis and Report of Student Skills of Secondary EE6617tudents. Caribbean ResearchLInstitute, College of the Virgin Islands, St. Thomas, U.S. Virgin Islands. Bliss, L.B. (1984). Virgin Islands of the United States Public School Basic Skills Achievement Surve . Technical Report itetrIET1gETE-Eicr/RiTTFIF6Tgtu ent ills of Elementary School Students. Caribbean Research Institute, College of the Virgin Islands, St. Thomas, U.S. Virgin Islands. Boyer, E. (1983). High School. Boston: Carnegie Institute. Bloom, B. (Ed.) (1956). Taxonomy of educational objectives, Handbook I: Cognitive domain. New York: Longmans, Green & Uo. Chase, C.I. (1978). Review of the Test of Academic Skills. In O.K. Buros (Ed.), The Eighth Mental Measurements Yearbook (vol. 1). Highland Park, NJ: GrYTETE Press. Deutsch, M. (1968). Minority group and class status as related to social and personality factors in scholastic achievement. (Monograph No.2). Ithaca, NY: The Society for Applied Anthropology. Ebel, R.L. (1978). Review of the 1973 edition of the Stanford Achievment Test. In O.K. Buros (Ed.), The Eighth Mental Measurements Yearbook (vol. 1). Highland Park, NJ: Gryphon Press. Jensen, A.R. (1968). Patterns of mental ability and socioeconomic status. Proceedings of the National Academ of Sciences of the United States of-XIFFica, 60, 1 BEST COPY AVAILABLE Kasdon, L.M. (1974). The Stanford Achievement Test (Review of the 1973 edition of the Stanford Achievement Test). Reading Teacher, 27, 7434. Kelly, T.L. (1939). The selection of upper and lower groups for the validation of test items. Journal of Educational Psychology, 22, 17-24. Lehmann, I.J. (1975). The Stanford Achievement Test Series - 1973 (Review of the 1973 edition of the Stanford Achievement Test). Journal of Educational Measurement, 30 297-306. National Commission on Excellence in Education. (1983). A nation at risk. Washington: National Commission on Excerience-irncation, U.S. Department of Education. Thorndike, R.L. (1978). Review of the Test of Acaaemic Skills. In O.K. Buros (Ed.), The Eighth Mental Measurements Yearbook (vol.1). Highland Park, NJ: Gryphon Press. Tyler, L. (1956). The psychology of individual differences (2nd ed.). New York: Appleton-Century-Crofts. BEST COPY AVAILABLE 32