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For each question, answer all items. Make sure that you are detailed when you answer the questions. As a rule of thumb, when you are answering any questions using statistics, you should include all statistics in the answer (e.g. if it asks about the mean, put the actual value of the mean in the sentence). Type your answers out underneath each question either bolded or in a different font color (or both). Please do not delete the questions or the output. When you are finished with the assignment, upload it as a .doc, .docx, or .pdf to the assignment on Canvas.
The analyses come from the high school exam data set. This data set includes information about how students in NY State performed on a bunch of standardized tests. In addition to the test scores, there is demographic information (ethnicity/race, gender) and school information (type of school, type of program). The analyses below use a variety of tests that look at the relationships between variables.
Note: There are 5 parts to this assignment each one on a separate page. Make sure to answer all parts.
Part I: One-Way ANOVA
This analysis is looking at the relationship between ethnicity/race and freshman year science scores. Use the tables and graph included below to answer the following questions:
- What are the null and alternative hypotheses for this analysis?
- In a few sentences, describe the descriptive data for each ethnicity/race group (include N, mean, standard deviation, minimum, & maximum).
- Did we violate the assumption of homogeneity in this analysis? Include evidence for your answer (i.e. how do you know?).
- Were there significant differences in science scores between the different ethnicities?
- Based on the results of your analysis, should you analyze the post hoc tests?
a. If yes, which groups are significantly different from each other? (List all).
b. Explain what the post hoc tests tell us about the relationship between ethnicity and science scores. - Complete Step 4 of hypothesis testing. Include your decision about the null hypothesis, a sentence describing the results (including post hoc tests), and the APA-style string of statistics.
