PSYC 3000 One-Sample t-Test
Data files are available on Canvas
Formula to calculate the Cohen’s d effect size: d = Mdiff /SD (mean difference divided by the
standard deviation)
Open the data file One-Sample t-Test File 1
John is interested in determining if a new teaching method, the Involvement Technique, is
effective in teaching algebra to first graders. John randomly samples six first graders from all
first graders within the Lawrence City School System and individually teaches them algebra with
the new method. Next, the pupils complete an eight-item algebra test. Each item on the algebra
test describes a problem and presents four possible answers to the problem. The scores on each
item are 1 or 0, where 1 indicates a correct response and 0 indicates a wrong response. The SPSS
data file contains six cases, each with eight-item scores on the algebra test.
1. Compute total scores for the algebra test from the item scores. A one-sample t-test will be
computed on the total scores.
2. What is the test value for this problem?
3. Conduct a one-sample t-test on the total scores. On the output, identify the following:
a. the mean algebra score
b. the t-test value
c. the p-value
4. Given the results of the children’s performance on the algebra test, what should John
conclude?
5. Write a Results section based on your statistical analysis.
Type your answers for 2 2. 2
through 4 here. Be sure to 3a.6
indicate what you are reporting 3b.6.93
and be sure to use APA format 3c. <0.001
where appropriate. 4. John should conclude that the Involvement Technique is
effective in teaching algebra to first graders.
Put your Results section here A one-sample t-test was conducted to evaluate whether the
(#5). Be sure it is thorough and mean of the algebra scores was significantly different from
in APA style. 2, the expected mean score if first graders answered by
chance. The results of the one-sample t-test (M = 6.00, SD
= 1.41) were significantly different from the expected mean
of 2, t(5) = 6.93, p = .001, d = 2.83, 95% CI [2.52, 5.48]. A
Cohen’s d of 2.83 indicates this is a very large effect size.
Overall, students taught using the Involvement Technique
performed significantly better than would be expected by
chance, suggesting the new teaching method was highly
effective in improving algebra performance.
Paste all SPSS output tables for which values are reported or used to draw conclusions.
Data files are available on Canvas
Formula to calculate the Cohen’s d effect size: d = Mdiff /SD (mean difference divided by the
standard deviation)
Open the data file One-Sample t-Test File 1
John is interested in determining if a new teaching method, the Involvement Technique, is
effective in teaching algebra to first graders. John randomly samples six first graders from all
first graders within the Lawrence City School System and individually teaches them algebra with
the new method. Next, the pupils complete an eight-item algebra test. Each item on the algebra
test describes a problem and presents four possible answers to the problem. The scores on each
item are 1 or 0, where 1 indicates a correct response and 0 indicates a wrong response. The SPSS
data file contains six cases, each with eight-item scores on the algebra test.
1. Compute total scores for the algebra test from the item scores. A one-sample t-test will be
computed on the total scores.
2. What is the test value for this problem?
3. Conduct a one-sample t-test on the total scores. On the output, identify the following:
a. the mean algebra score
b. the t-test value
c. the p-value
4. Given the results of the children’s performance on the algebra test, what should John
conclude?
5. Write a Results section based on your statistical analysis.
Type your answers for 2 2. 2
through 4 here. Be sure to 3a.6
indicate what you are reporting 3b.6.93
and be sure to use APA format 3c. <0.001
where appropriate. 4. John should conclude that the Involvement Technique is
effective in teaching algebra to first graders.
Put your Results section here A one-sample t-test was conducted to evaluate whether the
(#5). Be sure it is thorough and mean of the algebra scores was significantly different from
in APA style. 2, the expected mean score if first graders answered by
chance. The results of the one-sample t-test (M = 6.00, SD
= 1.41) were significantly different from the expected mean
of 2, t(5) = 6.93, p = .001, d = 2.83, 95% CI [2.52, 5.48]. A
Cohen’s d of 2.83 indicates this is a very large effect size.
Overall, students taught using the Involvement Technique
performed significantly better than would be expected by
chance, suggesting the new teaching method was highly
effective in improving algebra performance.
Paste all SPSS output tables for which values are reported or used to draw conclusions.
