Exam 2 Info
When you conduct an F test, (blank) estimates of the population variance are compared.
2
A two-way ANOVA has 3 levels of Factor A, 3 levels of Factor B, and 15 observations in each cell. What df should be used to test the significance of the interaction F?
4, 126
In an analysis of variance problem if SST = 120 and SSTR = 80, then SSE is
40
The test statistic for goodness of fit has a chi-square distribution with k - 1 degrees of freedom provided that the expected frequencies for all categories are
5 or more
In an analysis of variance problem if SST = 1605 and SSE = 1050, then SST R is
555
What are the two kinds of variability which can occur in your data when performing ANOVA?
Between and within groups
A researcher predicts that a special training course will be equally effective for males and females. This researcher is predicting an interaction between training and gender.
False
The F ratio in a completely randomized ANOVA is given by
MSTR/MSE
Which of the following assumptions must be met to use an ANOVA test?
The data must be normally distributed The dependent variable must be interval or ratio There is homogeneity of variance
The test for goodness of fit and test of independence are designed for use wit
categorical data
The test for goodness of fit and test of independence are designed for use with
categorical data
In the ANOVA, treatments refer to
different levels of a factor
A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a
goodness of fit test
The null hypothesis for the chi-square test of independence is that the variables are
independent
In the analysis of variance procedure (ANOVA), "factor" refers to
independent variable
The degrees of freedom for the goodness of fit test are
number of categories - 1
The number of degrees of freedom associated with the chi-square distribution in a test of independence is
number of rows minus 1 times number of columns minus 1.
The process of allocating the total sum of squares and degrees of freedom to the various components is called
partitioning
The required condition for using an ANOVA procedure on data from several populations is that the
sampled populations have equal variances.
An analysis of variance for a three-factor experiment produces:
seven F ratios
The Structural Model of ANOVA suggests that:
squared deviations between the scores and the grand mean can be broken down into treatment variance and error variance components
Two variables are said to interact when:
the effect of one independent variable depends on the levels of the second variable
The ANOVA procedure is a statistical approach for determining whether or not the means of
three or more populations are equal.
A 4 × 5 factorial ANOVA means that the experimental design includes:
two independent variables