This document discusses various statistical hypothesis tests including one sample t-test, paired t-test, independent samples t-test, one sample proportion test, two samples proportion test, one-way ANOVA, chi-square test, Wilcoxon matched pairs test, Mann-Whitney test, Kruskal-Wallis test, and Friedman ANOVA. For each test, a brief description and example is provided using various data files.

1. Hypothesis Testing
First import files: cs2m, grades,
wmps, wmpl, mws, mwl, kw
Next: install.packages(“psych”)
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2. One Sample t test
File: cs2m.csv [Ho: Mean Age = 40]
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3. Paired Sample t test
File: grades.csv [Ho: Mean Quiz1 –
Mean Quiz 2 = 0]
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4. Paired Sample t test
File: grades.csv [Ho: Mean Quiz1 –
Mean Quiz 2 = 0]
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5. Independent Samples t test {assuming
unequal variance}
File: cs2m.csv [Ho: Mean BP across
Anxiety Levels are same]
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6. Independent Samples t test {assuming
equal variance}
File: cs2m.csv [Ho: Mean BP across
Anxiety Levels are same]
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7. One Sample Proportion Test
A researcher believes that market size of diesel cars is 30%. For testing his
belief, he had taken a sample of 130 cars and found 50 diesel cars.
Ho: p=0.30
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8. Two Samples Proportion Test
A researcher has found 10 stressed faculties out of a sample of 40 at Christ
college and 22 out of 50 at St. John.
Ho: p1-p2 = 0
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9. One Way ANOVA
Data of sales in 6 cities [Ho: All sales are same]
Type sale = 22, 22.5…….21, 20
Type city = c(rep(“A”,6),…….rep(“D”,6))
Type sc = data.frame(sale,city)
Type sc and press ENTER [You will see data as shown in next
slide]
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12. Chi-Square Test
File: cs2m [Ho: There is no association
between Anxiety and Drug Reaction
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13. Chi-Square Test
File: cs2m [Ho: There is no association
between Anxiety and Drug Reaction
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14. Wilcoxon Matched Paired (Small Sample)
File: wmps [Ho: Md = 0]
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15. Wilcoxon Matched Paired (Large Sample)
File: wmpl [Ho: Md = 0]
First install.packages(“exactRankTests”)
Type library(exactRankTests)
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16. Mann-Whitney (Small Sample)
File: mws [Ho: Md = 0]
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17. Mann-Whitney (Large Sample)
File: mws [Ho: Md = 0]
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18. Kruskal Wallis
File: kw
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19. Friedman ANOVA
File: fm.xlsx
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20. Friedman ANOVA
File: fm.xlsx
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21. Friedman ANOVA
File: fm.xlsx
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