Question

ANOVA Homework 1. How is an ANOVA different from a t-test? 2. When and why do you use a post-hoc test? Indicate when you use a Fisher's test vs. a Tukey's HSD. 3. A researcher was interested in examining the decision making processes of people who work different shifts in a factory. They ask the participants from each shift to answer a set of questions regarding how they would deal with potential issues in the factory. Below are the scores for the number of correct answers on the test. Indicate your hypotheses using statistical notation, calculate the ANOVA, state your decision regarding the null hypothesis, and conduct post-hoc tests (if applicable). Report your findings. Day shift: 4,4,3,1,3,4 Afternoon shift: 6, 9, 8, 4, 8,8 Night Shift: 3,5,6,4,7,6 4. A researcher is interested in whether males, females, or a mixture of both are more productive at assembling vehicles. A factory has one shift of only males, one shift of only females, and one shift with both males and females. The following are the number of vehicles assembled per hour. Indicate your hypotheses using statistical notation, calculate the ANOVA, state your decision regarding the null hypothesis, and conduct post-hoc tests (if applicable). Report your findings. Males: 3,4,3,5,7 Females: 6,4,5,4 Both: 5, 6, 4, 3,5

Answer 1

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T-test is a statistical analysis which helps in determining whether the means of two groups are significantly different or not. This type of test is used to examine if there was a difference due to an external factor (introduced purposefully) on one of the two groups being studied or on the same group but after some predefined time interval.

However, not always is the case that we have only 2 groups at our disposal. When we need to assess the significant difference between two or more groups then Anova is required. Anova can also find significance within the groups.