Consider a Two-Factor Factorial Experiment with 4 Levels of Factor

question 112

Multiple Choice

Consider a two-factor factorial experiment with 4 levels of factor 1,5 levels of factor 2,and 3 observations per cell.If we use a two-way ANOVA to analyze the data from this experiment,the total degrees of freedom is:

• A)21
• B)16
• C)59
• D)40
• E)12

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Definitions:

Reject

In statistical hypothesis testing, it refers to the decision to not accept the null hypothesis based on the evidence from the data.

F-Ratio

A statistic used in ANOVA to compare the variance among group means to the variance within groups; a measure of variance between groups relative to variance within groups.

Main Effect

In statistical analysis, the direct impact of an independent variable on a dependent variable, disregarding the influences of or interactions with other variables.

Reject

In statistics, to refuse the null hypothesis based on evidence from sample data meeting a predetermined significance level.