Statistics 2: Dependent t-test, Independent t-test, and ANOVA

Running head: STATISTICS 2
Statistics 2
Name of the student
Name of the university
Author’s note

1STATISTICS 2
Table of Contents
Part A: Dependent t-test...................................................................................................................2
Part 1............................................................................................................................................2
Part 2............................................................................................................................................3
Part B: Independent t-test................................................................................................................4
Part 1............................................................................................................................................4
Part 2............................................................................................................................................4
Part 3............................................................................................................................................5
Part 4............................................................................................................................................6
Part C: ANOVA...............................................................................................................................6
Part 1............................................................................................................................................6
Part 2............................................................................................................................................9

2STATISTICS 2
Part A: Dependent t-test
Part 1
a. Table 1 presents the descriptive statistics for the Pre-test and Post-test scores of the
creative writing course (Christodoulides & Christodoulides, 2017).
Table 1: Descriptive Statistics
N Mean Std. Deviation
CreativePre 40 40.15 8.30
CreativePost 40 43.35 9.60
Valid N (listwise) 40
The average and standard deviation of pre-test score of creative writing is 40.15 and 8.30.
The average and standard deviation of post-test score of creative writing is 43.35 and
9.60 respectively.
b. Figure 1 presents a bar graph comparing the means of the pre and posttest scores.

3STATISTICS 2
Figure 1: Comparison of pre and post test scores.
The comparative distribution of Creativity in Pre-test and Creativity in Post-test indicates that
overall values are greater for Creativity in post-test scores. The score is higher for maximum and
minimum values for post-test score.
c. The Null and Alternate Hypothesis of paired two samples t-test may be written as:
Null Hypothesis (H0): Participation in the creative writing course does not produce any
difference in the mean pre and post-test scores.
H0 : μCreativePre =μCreativePost
Alternate Hypothesis (HA): Participation in the creative writing course does produce
difference in the mean pre and post-test scores (Anderson et al., 2014).
H0 : μCreativePre ≠ μCreativePost
Part 2
a. Table 2 presents the results of the paired samples t-test (Black, 2016)
Table 2: Paired Samples Test
Pair 1
CreativePre -
CreativePost
Paired Differences Mean -3.20000
Std. Deviation 7.57594
Std. Error Mean 1.19786
95% Confidence Interval of
the Difference
Lower -5.62290
Upper -.77710
t -2.671
df 39
Sig. (2-tailed) .011
The paired sample t-test is applicable when we would like to test the averages of two similar
types of variables having so significant relevance between them.
The t-statistic for paired two samples is –
t=¿ ¿,