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1
An F-statistic is used to
A)Test if the MSE equals 0
B)Test the equality of two population variances.
C)Test if a z-statistic is greater than 0.
D)Convert a z statistic to a t statistic.
2
ANOVA is a statistical technique used to test a null hypothesis of equal population
A)variances.
B)proportions.
C)means.
D)skewness.
3
The result of an ANOVA hypothesis test is based on the ratio of
A)treatment and error variances.
B)total and error variances.
C)total and treatment variances.
D)two treatment variances
4
Which of the following is a characteristic of the F distribution?
A)It is a discrete distribution.
B)It cannot be positive.
C)It is based on the ratio of variances from two populations.
D)It is the ratio of two population means.
5
The term "Treatment" refers to
A)A source of variation.
B)The numerator degrees of freedom.
C)The variation within the cells.
D)Error variation.
6
Suppose we select 6 observations from each of three treatments. For an ANOVA, the treatment and error degrees of freedom are
A)3 and 6.
B)3 and 18.
C)2 and 15.
D)2 and 18.
7
The term MSE is
A)the treatment mean square.
B)found by SSE/(n - k).
C)an estimate of the common population variance.
D)an estimate of the population mean.
8
ANOVA requires that the
A)populations are normally distributed.
B)populations have equal means.
C)samples are dependent.
D)population variances are not equal.
9
Under which of the following conditions will the computed value of F be negative?
A)When there is no difference in the treatment means
B)When there is no difference in the block means
C)When the SS total is larger than SST.
D)F cannot be negative.
10
Suppose we conduct an ANOVA test of four treatment means. Construction of a confidence interval for the difference between the first and second sample means is (<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0073401765/663702/C12_img1.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (2.0K)</a>). From this information we know:
A)This pair of means is statistically different.
B)This pair of means is not statistically different.
C)The null hypothesis was accepted (or not rejected).
D)The error degrees of freedom equal 27.
11
In a two-way ANOVA the second source of variation is due to
A)Random error.
B)Blocks.
C)Total variation
D)differences in treatment means.
12
In a two-way ANOVA with interaction,
A)There are two sources of variance: interaction and total
B)There is a hypothesis test of no interaction based on the ratio of the interaction and error mean squares.
C)The Total degrees of freedom is n — k — b
D)The mean square for interaction is an estimate of the population variance.





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