Chapter 13, Problem 26PBookmarkShow all steps:ONResearch indicates that paying students to improve their grades simply does not work (Fryer,2011). However, paying students for specific tasks such as reading books, attending class, ordoing homework does have a significant effect. Apparently, students on their own do notunderstand how to get good grades. If they are told exactly what to do, however, the incentiveswork. The following data represent a two-factor study attempting to replicate this result.Paid forHomeworkNot Paid forHomework1427710Paid for Grades71139137794Not Paid for Grades7116.73a Ilce a two factor ANOVA with a - 05 to evaluate the sianificance of the main offects and the TVOT Paia Tor Grades113a. Use a two-factor ANOVA with a = .05 to evaluate the significance of the main effects and theinteraction.b. Calculate the n? values to measure the effect size for the two main effects and the interaction.c. Describe the pattern of results. (How does paying for grades influence performance? HoWdoes paying for homework influence performance??)Does the effect of paying for homework depend on whether you also pay for grades

Analysis of variance (ANOVA) is a collection of statistical models used to analyze the differences among group means and their associated procedures (such as "variation" among and between groups. In its simplest form, ANOVA provides a statistical test of whether or not the means of several groups are equal, and therefore generalizes the t-test to more than two groups. As doing multiple two-sample t-tests would result in an increased chance of committing a statistical type I error, ANOVAs are useful for comparing (testing) three or more means (groups or variables) for statistical significance.(a) The two factor ANOVA was carried out in MS-EXCEL with following results, b) The one with higher numerical value for has a strong effect. c. The P-value for sample is 0.2955349 which is greater than 0.05, hence there is no significant difference due to payment/non-payment for grades. The P-value for columns is very small thus there are significant difference between those who paid for homework and those who didn't. The P-value for interaction is very high, thus the interaction between these two factors is not significant.