Question 1

A test constructor is interested in discovering how long a set of sub-tests must be to reach a reliability value of .85. For each sub-test, the following significant correlations were found:
a. .739
b. .653
c. .585
d. .790

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Question 2

Is the test proving to be reliable?

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Question 3

A researcher wishes to estimate the reliability of the FYI (Functional Youth Indicator) - a new test of adolescent shyness. The test is composed of a total of 30 items, and the researcher splits the scoring in order to compare each subject's score on the odd numbered items with those on the even numbered items. A total of 10 teen-age males was randomly selected and their scores were as follows: $$\begin{array} { l c r } 
& \text { Odd } & \text { Even } \
\text { Subject \# } & \mathrm { X } & \mathrm { Y } \
\text { 1. } & 10 & 9 \
\text { 2. } & 8 & 11 \
3 . & 12 & 12 \
\text { 4. } & 10 & 9 \
\text { 5. } & 11 & 10 \
\text { 6. } & 9 & 10 \
\text { 7. } & 10 & 9 \
\text { 8. } & 15 & 14 \
9 . & 5 & 6 \
10 . & 10 & 10
\end{array}$$ Estimate the reliability of the whole test.

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Question 4

The standard error of measurement on a certain test has been found to be 10 with an SD of 15.00. Using the Rulon formula, find the rtt (reliability value) for the test.

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Question 5

The reliability of a certain test is .90, whereas the reliability of the criterion is .85. What is the highest possible validity value for this test?

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Question 6

A forensic psychologist is attempting to assess the reliability of a new test of psychopathy. A random sample of inmates from a large state prison, all of whom had been convicted of violent offenses was selected and given the test. Assume that the test is composed of five items. The test items were scored from 1 to 10, with a 10 assumed to define the highest level of psychopathy. $\begin{array}{c}
\text { Items } \
\begin{array}{cccccc}
\text { Subjects } & \text { a. } & \text { b. } & \text { c. } & \text { d } & \text { e. } \
1 & 1 & 3 & 2 & 6 & 2 \
2 . & 7 & 9 & 8 & 10 & 9 \
3 . & 5 & 6 & 7 & 4 & 5 \
4 . & 8 & 8 & 9 & 10 & 8 \
5 . & 3 & 4 & 5 & 4 & 4 \
6 . & 2 & 6 & 5 & 3 & 2 \
7 . & 7 & 6 & 8 & 6 & 7 \
8 . & 9 & 10 & 10 & 10 & 9 \
9 . & 5 & 5 & 6 & 5 & 4 \
10 . & 7 & 8 & 5 & 7 & 6
\end{array}
\end{array}$

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Question 7

For a given administration of the KISS (Kelly Impulsivity Standards Scale), the mean was 50 with an SD of 10. The test-retest reliability was .85. Find the standard error of measurement.

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Question 8

A certain test has been found to have an SD of 50 and a standard error of measurement of 32. Using the Rulon formula, find the rtt (reliability value) for the test.

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Question 9

For a given administration of the welcome-back-to-school test, the KABC (Kotter Assessment Battery for Children), the mean was 100 with an SD of 15. The test-retest reliability was .90. Find the standard error of measurement.

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Question 10

Find the whole test reliabilities for the following split-half correlations, all of which were calculated on the basis of a sample of 30 persons.
a. .63
b. .93
c. .33
d. .78

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Question 11

A new test, the NCAA (Number-Concept-Awareness-Ability) is being standardized for college athletes majoring in math, and it has been found to have a mean of 85 and an SD of 15. The test is composed of 125 items. Find its KR21 reliability.

Accepted Answer

The answer of A new test, the NCAA (Number-Concept-Awareness-Ability) is...

Question 12

A researcher wishes to establish the DI (Discrimination Index) for a series of five items contained in a new test being developed to assess Whole Language Readiness (WLR). The data are as follows: Item Proportion Correct Proportion Correct  $\quad $ $\quad $ $\quad $$\begin{array}{llcc}
\text { For Top Third}& \text { For Bottom Third }
\end{array}$

a. $\quad $ $\quad $ $\quad $ $\quad $ .70 $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $.60

b.  $\quad $ $\quad $ $\quad $ $\quad $ .70 $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $.50

c.  $\quad $ $\quad $ $\quad $ $\quad $ .50 $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $.20

d.  $\quad $ $\quad $ $\quad $ $\quad $ .95 $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $.70

e.  $\quad $ $\quad $ $\quad $ $\quad $ .45 $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $.50 For Top Third For Bottom Third

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Question 13

A test constructor is interested in determining the reliability of a certain item on a new test of aggressiveness, the ASAP (Aggressive Syndrome Assessment Profile). The items were scored 1 for showing aggressiveness and 0 for passivity. For each subject, the total score on the test is reported, high scores indicating higher levels of aggressiveness. Subj Item Score Total Score $$\begin{array}{l}
\text { Subj }&\text { Item Score}&\text {   Total Score }\
& \mathrm { X } & \mathrm { Y } \
1 . & 1 & 10 \
\text { 2. } & 1 & 12 \
\text { 3. } & 1 & 10 \
\text { 4. } & 1 & 11 \
5 . & 1 & 15 \
\text { 6. } & 0 & 4 \
\text { 7. } & 0 & 5 \
\text { 8. } & 0 & 6 \
\text { 9. } & 0 & 9 \
10 . & 0 & 7

\end{array}$$ Find the point-biserial reliability value for the selected item.

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The answer of A test constructor is interested in determining...

Question 14

Using the standard error of measurement found above, find the confidence interval at the .95 level for the following KABC scores:
a. 80
b. 90
c. 100
d. 110
e. 120

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Question 15

Suppose that you as a statistical consultant were given the following test data from a researcher: M = 400, SD = 32 and the standard error of measurement = 100. You are asked to use the Rulon formula for finding the test's reliability.

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Question 16

A new test, designed to test parental permissiveness among parents of K through 4th grade children, was developed and you as the statistical consultant have been asked to assess its reliability. The test is composed of 4 items and was given to a random sample of 5 parents. The items on the test were scored from 1 to 10, with 10 showing the most permissiveness. Using the Cyril Hoyt ANOVA, find the internal consistency reliability of the test. Items $$\begin{array}{c}
\text { Items }\
\begin{array} { c c c c c c } 
\text { Subjects } & \text { a } & \text { b } & c & d \
1 & 8 & 10 & 9 & 8 \
2 &  10 & 8 & 9 & 10 \
3 & 6 & 6 & 7 & 4 \
4 & 3 & 3 & 7 & 5 \
5 &  1 & 2 & 5 & 8
\end{array}
\end{array}$$

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Question 17

Another researcher attempted to shorten the NCAA test shown above and reduced the number of items to only 20. The mean on this revision was 10 with an SD of 3. Find its KR21 reliability.

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Question 18

Using the standard error of measurement found above, find the confidence interval at the .95 level for the following KISS scores :
a. 40
b. 45
c. 50
d. 55
e. 57

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Question 19

The reliability of a certain test is .80, whereas the reliability of the criterion is only .30. What is the highest possible validity value for this test?

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Question 20

A test specialist is attempting to find the reliability of a test designed to assess drug dependence. Ten subjects were randomly selected from a group of individuals. all of whom on a waiting list for a treatment program for drug abuse. The subjects were all given the test and then a week later were retested. The scores were as follows: $$\begin{array} { c r c } 
\text { Subject\# } & \text { Test } & \text { Retest } \
1 & 45 & 50 \
2 & 35 & 32 \
3 & 50 & 54 \
4 & 67 & 70 \
5 & 45 & 40 \
6 & 55 & 60 \
7 & 65 & 62 \
8 & 50 & 48 \
9 & 60 & 70 \
10 & 45 & 40
\end{array}$$ Find the test-retest reliability value.

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The answer of A test specialist is attempting to find...

Quiz 17: Tests and Measurements

A test constructor is interested in discovering how long a set of sub-tests must be to reach a reliability value of .85. For each sub-test, the following significant correlations were found: a. .739 b. .653 c. .585 d. .790