Part 1: Terminology |
Part 2: Procedures |
Part 3: Test Interpretation |
Part 4: Assessment Ethics |
INSTRUCTIONS: Specify the mean and standard deviation for the following types of norm-referenced tests assuming that the curve has a normal distribution:
36. | quartile score | mean = | standard deviation= | |
37. | percentile score | mean = | standard deviation= | |
38. | stanine score | mean = | standard deviation= | |
39. | T score | mean = | standard deviation= | |
40. | z score | mean = | standard deviation= |
INSTRUCTIONS: Look at the data from the test below, then answer Questions 41-45 using any electronic device or software program that you know how to operate.
Raw score sections of four sections of a norm-referenced language test of general English ability. (Correct number of items for each section of the test appears below) |
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Section 1 | Section 2 | Section 3 | Section 4 | Total | |
k (# of items) | 10 | 30 | 20 | 30 | 90 |
1. Diana | 8 | 28 | 15 | 14 | 65 |
2. Cindy | 7 | 22 | 10 | 15 | 54 |
3. Marilyn | 4 | 11 | 9 | 8 | 32 |
4. Jack | 10 | 26 | 19 | 26 | 81 |
5. Chris | 5 | 15 | 10 | 16 | 46 |
6. Faith | 7 | 18 | 15 | 22 | 62 |
7. Doug | 9 | 10 | 12 | 21 | 52 |
8. James | 3 | 10 | 5 | 11 | 29 |
9. Emiko | 8 | 23 | 16 | 25 | 72 |
10. Eric | 6 | 19 | 12 | 18 | 55 |
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41. What is the mean of the total test? |
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42. What is the standard deviation? |
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43. Which student(s) is/are more than one standard deviation from the mean? |
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44. Do any sections of this test correlate closely in a way that's statistically ![]() |
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45. What sort of distribution curve does this test have so far? |
[ p. 64 ]
(C) Exercise 3INSTRUCTIONS: The table below indicates the hypothetical data for a 50-item test that were given to two different population samples. Look at that data then calculate the statistics mentioned in Questions 46-50:
Population A | Population B | |
sample size: | 20 | 80 |
mean score: | 32 | 25 |
standard deviation: | 7.5 | 6 |
low-high: | 14 - 48 | 12 - 50 |
alpha reliability estimate: | .7 | .8 |
46. ANOVA: |
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47. F-ratio: |
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48. Chi-square distribution: |
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49. effect size: |
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50. standard error of measurement: |
INSTRUCTIONS: Compare the oral interview ratings below by two raters of the same student, then calculate the statistics mentioned in Questions 51-55. Note that all ratings are in terms of 5-point bands, with 5 representing the highest possible rating.
Category | Rater A | Rater B |
Grammar | 3.5 | 3 |
Fluency | 4 | 4 |
Pronunciation | 4 | 3.5 |
Cohesion | 4 | 3.5 |
Vocabulary | 4.5 | 4 |
Total | 20 | 18 |
51. The inter-rater reliability coefficient for A and B is . |
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52. The Pearson correlation index for the two raters is . |
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53. The index of concordance among the two raters is . |
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54. The chi-square test of independence for these two raters is . |
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55. The kappa coefficient of the combined rating is . |
INSTRUCTIONS: Read this hypothetical data comparing a 60-item classroom pretest/posttest, then complete the sentences below. Note that following the pretest, the top one-third students were classified into an "upper group" and the lower one-third were classified into a "bottom group":
Category | Pretest | Posttest |
sample size: | 48 | 42 |
total mean: | 30 | 33 |
total range: | 7-44 | 12-52 |
total standard deviation: | 3.6 | 4.3 |
upper group mean score: | 45 | 50 |
upper group standard deviation: | 4.0 | 3.9 |
bottom group mean: | 20 | 20 |
bottom group standard deviation: | 4.2 | 5.8 |
56. How did the upper group perform differently from the bottom group? ![]() |
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57. What sort of distribution curve would this posttest likely have? ![]() |
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58. Which type of ANOVA, if any, would be suitable for measuring ![]() ![]() |
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59. What sort claims could validly be made about the "progress" of this class? ![]() |
Main Article | Appendix A: I II III IV | Appendix B | Appendix C: I II III IV |