Exam 16: Analysis of Variance and

Also referred to as SS_error, is the variation in Y due to the variation within each of the categories of X. This variation is not accounted for by X.

Which F test is used to test the significance of the overall effect? A) $F = \frac { S S _ { x 1 } / d f _ { n } } { S S _ { e r r o r } / d f _ { d } }$ B) $F = \frac { S S _ { x 1 \times 2 } / d f _ { n } } { S S _ { \text {error } } / d f _ { d } }$ C) $F = \frac { \left( S S _ { x I } + S S _ { x 2 } + S S _ { x 1 } \times 2 \right) / d f _ { n } } { S S _ { e r r o r } / d f _ { d } }$ D) $F = \frac { S S x } { S S _ { \text {error } } / ( N - c ) }$

When using n- way ANOVA the significance of the overall effect may be tested by a t test.

Analysis of covariance includes at least one _ independent variable and at least one independent variable.

The null hypothesis for ANOVA typically is that all .

In ANOVA the relative contribution of a factor X is calculated as . A) $\mathrm { m } _ { x } ^ { 2 } = \frac { S S _ { \underline { X } } / ( \mathrm { c } - 1 ) } { \mathrm { SSerror } / ( \mathrm { N } - c ) }$ B) $m ^ { 2 } x = \frac { S S x / d f x } { S S _ { e r r o r } }$ C) $m ^ { 2 } x = \frac { S S x } { \left. S S _ { \text {total } } + M M _ { \text {error } } x \times S _ { \text {error } } \right) }$ D) $\mathrm { m } ^ { 2 } \times = \frac { \left( S S _ { \chi 1 } + S S _ { \chi 2 } + S S _ { \chi 1 \times 2 } \right) / d f _ { \chi 1 } } { S S _ { \text {total } } + M S _ { \text {error } } }$

Which statement is correct concerning one- way ANOVA?

SS_within is the variation in Y related to the variation within each category of X.

Interactions occur when the effects of one factor on the dependent variable depend on the level (category) of the other factors.

Modest departures from the assumptions in analysis of variance do not seriously affect the validity of the analysis.

are contrasts that enable the researcher to construct generalized confidence intervals that can be used to make pairwise comparisons of all treatment means.

List the procedure for conducting one- way analysis of variance.

ANOVA and ANCOVA include one independent variable and t tests include more than one independent variable.

In the , the categories or treatments are considered to be random samples from a universe of treatments. Inferences are made to other categories not examined in the analysis.

At what point does m² begin to represent a larger experimental effect?

An interaction effect occurs when the effect of an independent variable on a dependent variable is different for different categories or levels of another independent variable.

is a measure of variation in Y that is explained by the independent variable X.

The value of y² varies between 0 and 1.

When using SPSS Windows one- way ANOVA can be efficiently performed using the program.

A marketing survey conducted by EgeBank in Istanbul, Turkey used analysis of variance techniques to help identify affective and perceptual factors that differentiate alternative tourist destinations.