Three television pilots for potential situation-comedy series were shown to audiences in four regions of the country—the East, the South, the Midwest, and the West Coast. Based on audience reactions, a score (on a scale from 0 to 100) was obtained for each show. The sums of squares between groups (shows) and between blocks (regions) were found to beSSG = 95.2 and SSB = 69.5and the error sum of squares was as follows:SSE = 79.3Prepare the analysis of variance table, and test the null hypothesis that the population mean scores for audience reactions are the same for all three shows.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Three television pilots for potential situation-comedy series were shown to audiences in four regions of the country—the East, the South, the Midwest, and the West Coast. Based on audience reactions, a score (on a scale from 0 to 100) was obtained for each show. The sums of squares between groups (shows) and between blocks (regions) were found to be
SSG = 95.2 and SSB = 69.5
and the error sum of squares was as follows:
SSE = 79.3
Prepare the analysis of variance table, and test the null hypothesis that the population mean scores for audience reactions are the same for all three shows.
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