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Variance Analysis MCQ

Sum of squared deviations within each group, calculated between each individual score and the sample mean is within group sum of squares

True

False

Answer

Correct Answer: True

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Total sum of squares is the total variation in scores, calculated by adding SSB (between-group sum of squares) and SSW (within-group sum of squares).

True

False

Answer

Correct Answer: True

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Analysis of variance application with one dependent variable and one independent variable is ___ way anova

One

Two

Three

Zero

Answer

Correct Answer: One

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Sum of squares within divided by its corresponding degrees of freedom is mean square within

True

False

Answer

Correct Answer: True

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Sum of squares between divided by its corresponding degrees of freedom is mean square between

True

False

Answer

Correct Answer: True

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The test statistic for ANOVA, calculated by the ratio of mean square to mean square within is called

F ratio

M ratio

B ratio

X ratio

Answer

Correct Answer: F ratio

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The F-test statistic that is calculated is ___ obtained

Answer

Correct Answer: F

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F-test statistic that corresponds to the alpha level, dfw, and dfb is known as

F critical

M critical

X critical

Z critical

Answer

Correct Answer: F critical

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The sum of squared deviations between each sample mean to the overall mean score is between group sum of squares

True

False

Answer

Correct Answer: True

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An inferential statistics technique designed to test for the significant relationship between two variables in two or more groups or samples is analysis of _____

Ratio

Variance

Statistics

Research

Answer

Correct Answer: Variance

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The degrees of freedom for the between-group sum of squares is calculated as the number of ______.

Categories plus one

Observations minus one

Categories minus one

Observations plus one

Answer

Correct Answer: Categories minus one

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The ratio of the mean square between to the mean square within is referred to as the ______ ratio.

Sum of squares

Grad

Mean square

Answer

Correct Answer: F

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The total sum of squares is composed by ______.

The within-group sum of squares

The grand total sum of squares

One half the partial sum of squares

The within-group and between-group sum of squares

Answer

Correct Answer: The within-group and between-group sum of squares

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The within-group sum of squares measures the sum of squared deviations between each ______.

Group mean and the mean across all groups

Individual observation and its group mean

Group mean and every other group mean

Individual observation and the mean across all groups

Answer

Correct Answer: Individual observation and its group mean

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Computing the between-group variance first calls for summing the difference between grand mean (means of all scores) and the group means. This is known as the ______.

MSwithin

SSwithin

SSbetween

MSbetween

Answer

Correct Answer: SSbetween

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What is the third step in hypothesis testing using ANOVA?

Making assumptions

Selecting the appropriate test

Select the sampling distribution and specify the test statistics

Stating the null and research hypotheses

Answer

Correct Answer: Select the sampling distribution and specify the test statistics

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In order to increase the value of the F statistic, which of the following must occur?

MSwithin > MSbetween

MSwithin = MSbetween

MSwithin < MSbetween

Ratio = 1

Answer

Correct Answer: MSwithin < MSbetween

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Which of the following is the formula for computing the F statistic?

F = MSbetween ÷ MSwithin

F = SSbetween ÷ SSwithin

F = MSwithin ÷ MSbetween

F = SSwithin ÷ SSbetween

Answer

Correct Answer: F = MSbetween ÷ MSwithin

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If you wanted to examine whether the degree of parental involvement differs based on students’ grade in school (i.e., first, second, third, etc.), what is the independent variable of interest?

Grade level

Students

Parents

Degree of parent involvement

Answer

Correct Answer: Grade level

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A simple analysis of variance is also called ______.

The two-way analysis of variance

Factorial ANOVA

Correlational ANOVA

The one-way analysis of variance

Answer

Correct Answer: The one-way analysis of variance

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To estimate the between-group variance, we must calculate the ______.

Mean square between

F statistic

Mean square within

F ratio

Answer

Correct Answer: Mean square between

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The ANOVA can be used to test the differences ______.

Between two groups only

Between two or more groups

Within a single group

Among three groups only

Answer

Correct Answer: Between two or more groups

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The ANOVA uses the ______.

T test

F test

P test

R test

Answer

Correct Answer: F test

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The ANOVA is like an extension of the ______.

T test

F test

Correlation luxury

Regression

Answer

Correct Answer: T test

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ANOVA procedures assume that the ______ variances for the groups of interest are about equal.

Sample

Population

Within-group

Between-group

Answer

Correct Answer: Population

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