SJSU ANOVA and Pearsons R Correlation Coefficient Analyses Statistics Question
1) Make a copy of the plant data sheet (in file)At the bottom of the sheet, you will see 4 tabs: 1. ANOVA, 2. Cleaned Data ANOVA, 3. Correlation, and 4. Cleaned Data Correlation. For tabs 1. ANOVA and 3. Correlation, the calculations have already been done for you using the formulas we learned in class in order to test our research question “Can college students grow plants?” (Note: For Pearson’s r, we ran a t-test to determine the significance of the coefficient r. Use an alpha level of .05, or p<0.05, to determine whether or not r is significant.)2) Using the 5 Steps of Hypothesis Testing, analyze the results of the ANOVA and the Pearson’s r Correlation Coefficient. Type this up in a word document and turn it in here.This should look something like this:ANOVA:Step 1: State hypotheses. H0: All 3 of the population means will have the same height.æ1 = æ2 = æ3H1: ________Step 2: Set a criterion for a decision. What is the alpha level? What is the critical F statistic value needed to reject H0?Step 3: Collect sample data and compute an F statistic. Look at the statistical analysis results on the ANOVA tab to find the F statistic and the p value. Step 4: Make a statistical decision. Do we reject or fail to reject H0?Step 5: Draw a conclusion and interpret results. What does this tell us about our study? What can we conclude about college students growing plants?Pearson’s r Correlation:Step 1: State hypotheses. H0: There is no relationship between the two variables in the population, time and plant height. (Note: The population parameter for the correlation coefficient is ?, and for samples is r.)? = 0 H1: There is a relationship between two variables in the population. ? ? 0Step 2: Set a criterion for a decision.What is the alpha level? What p value will we need to reject H0?Step 3: Collect sample data and compute an the r statistic. Look at the statistical analysis results on the Correlation tab. Is the scatterplot showing a linear relationship? What is the r correlation coefficient? Is it significant? (Find the significance by looking at the P value from t-test). Step 4: Make a statistical decision. Do we reject or fail to reject H0?Step 5: Draw a conclusion and interpret results. What do the results tell us about our study? What can we conclude about college students growing plants?3) For tabs 2 and 4, you will be conducting a follow-up analysis to determine whether cleaning the data (by getting rid of outliers, missing data, and plants that showed no difference in heights throughout all 3 weeks) will give us different results. For these analyses, you will have to conduct the analyses by copying the formulas on tabs 1 and 3 and selecting the data from the columns on the left. 4) Once you have conducted the statistical analyses on the Google sheet, take screenshots of your results and repeat the 5 Steps of Hypothesis Testing using the cleaned data statistics (Once for ANOVA and again for Pearson’s r).5) At the end of your analyses, answer the following question: Did cleaning the data make a difference in our conclusions? Did any of the statistics change after the data was cleaned?
