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Posted: December 16th, 2022
Statistics Project, Part 3: Hypothesis Testing
Statistics Project, Part 3: Hypothesis Testing
Name
University of
PSYCH/625: Statistics for The Behavior Sciences
Name
August 31, 2020
Statistics Project, Part 3: Hypothesis Testing
Null Hypothesis (H0): There is no statistically significant difference in the average score of workplace happiness between males and females.
Alternate Hypothesis (H1): There is a statistically significant difference in the average score of workplace happiness between male and female.
Analysis of variance is used to compare more than one group. The technique is appropriate for this type of analysis since male and females are two independent groups. The same response variable subjected to the two groups is workplace happiness rating.
The Analysis of variance was used to establish whether workplace happiness rating among males and females are significantly different. The average score among 24 females was found to be 7.192, with a variance of 2.562 whereas the average score among 26 males was found to be 7.625, with a variance of 1.201 (Table 1). The null hypothesis was not rejected (f (1, 48) =1.22, p value=0.274). Therefore, there is no statistically significant difference in the average score of workplace happiness between males and females. Turkey HSD could not work because the number of groups was few, two groups male and female. However, it can be seen that happiness score for females was higher than males. During analysis, Analysis of variance method was more convenient in comparing the means of more than two groups as compared to t-test. This is because in t test, two groups should be compared at a time which makes the process more tedious.
Table 1: One Way Analysis of variance Results
SUMMARY
Groups Count Sum Average Variance
Male 26 187 7.192308 2.561538
Female 24 183 7.625 1.201087
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 2.336538 1 2.336538 1.223539 0.27418 4.042652
Within Groups 91.66346 48 1.909655
Total 94 49
Note: Outcome variable: workplace happiness rating
Reference
Jackson, S. L. (2017). Statistics plain and simple, (4th ed.). Boston, MA: Cengage Learning.
Reinard, J. (2006). Communication research statistics. Thousand Oaks, Calif.; London: SAGE.
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