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If means for a two-way ANOVA were plotted on a graph, an interaction effect might be indicated by:


A) Parallel lines
B) Curved lines
C) Crossed lines
D) None of the above

E) A) and B)
F) B) and D)

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Which of the following is a post hoc test?


A) Tukey's HSD test
B) Greenhouse-Geisser test
C) Planned comparisons test
D) Mauchly test

E) C) and D)
F) All of the above

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A

In an RM-ANOVA, what is removed from the error term (within-subjects variation) ?


A) Variation attributable to individual differences
B) Variation from interaction effects
C) Variation attributable to between-groups differences
D) Variation from time or between-treatment differences

E) C) and D)
F) All of the above

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Questions pertain to the following table (Table 7) , which presents fictitious results regarding the effects of guided imagery on pain outcomes among patients with cancer.  Table 7  Physiologic Outcomes for Patients with Emphysema during Exercise Performance  Under Three Different Conditions (N= 50)   Physiologic Outcome  Control  Condition  Mean ±SD With Admin-  istration of  Oxygen  Mean ±SD With  Compressed  Air  Mean ±SDFp Dyspnean rating (110) 4.70±2.34.77±2.65.09±2.64.99.008 Heart rate (bpm)  121.1±13.6126.9±19.9126.0±21.112.54<.001 Oxygen saturation, SPO2(%) 91.0±3.994.4±4.089.9±4.19.80<.001 Breaths per minute 24.1±4.824.3±5.928.8±6.51.86.22\begin{array}{c}\text { Table 7 } \\\text { Physiologic Outcomes for Patients with Emphysema during Exercise Performance } \\\text { Under Three Different Conditions (N= 50) } \\\begin{array}{|l|c|c|c|c|c|}\hline \text { Physiologic Outcome } & \begin{array}{c}\text { Control } \\\text { Condition }\\\\\text { Mean } \pm S D\end{array} & \begin{array}{c}\text { With Admin- } \\\text { istration of } \\\text { Oxygen } \\\text { Mean } \pm S D\end{array} & \begin{array}{c}\text { With } \\\text { Compressed } \\\text { Air } \\\text { Mean } \pm S D\end{array} & \boldsymbol{F} & \boldsymbol{p} \\\hline \text { Dyspnean rating }(1-10) & 4.70 \pm 2.3 & 4.77 \pm 2.6 & 5.09 \pm 2.6 & 4.99 & .008 \\\hline \text { Heart rate (bpm) } & 121.1 \pm 13.6 & 126.9 \pm 19.9 & 126.0 \pm 21.1 & 12.54 & <.001 \\\hline \text { Oxygen saturation, } \mathrm{SPO}_{2}(\%) & 91.0 \pm 3.9 & 94.4 \pm 4.0 & 89.9 \pm 4.1 & 9.80 & <.001 \\\hline \text { Breaths per minute } & 24.1 \pm 4.8 & 24.3 \pm 5.9 & 28.8 \pm 6.5 & 1.86 & .22 \\\hline\end{array}\end{array} -Refer to Table 7. For which outcome would the researcher need to accept the null hypothesis?


A) Dyspnea rating
B) Heart rate
C) Oxygen saturation
D) Breaths per minute

E) B) and D)
F) None of the above

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D

Which of the following is true about RM-ANOVA?


A) It is not appropriate for nonexperimental designs.
B) It is a less sensitive test of the relationship between the independent and dependent variable than one-way ANOVA.
C) It has fewer assumptions than one-way ANOVA.
D) It assumes homogeneity of variances in differences scores between the populations being compared (sphericity) .

E) B) and C)
F) A) and D)

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In a basic one-way ANOVA, what components are being contrasted?


A) Between-group variance to within-group variance
B) Between-group variance to total variance
C) Between-group variance to treatment variance
D) Between-group variance to variance for interactions

E) C) and D)
F) B) and D)

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RM-ANOVA might be appropriate for which of the following experimental designs?


A) Crossover design
B) One-group pretest-posttest design
C) Two-group before-after design
D) Factorial design

E) B) and D)
F) A) and B)

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The basic alternative hypothesis in ANOVA is:


A) H1: µ1 = µ2 = µ3 = µ4
B) H1: µ1 ≠ µ2 ≠ µ3 ≠ µ4
C) H1: µ1 > µ2 > µ3 > µ4
D) H1: not H0

E) None of the above
F) B) and C)

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Questions pertain to the following table (Table 7) , which presents fictitious results regarding the effects of guided imagery on pain outcomes among patients with cancer.  Table 7  Physiologic Outcomes for Patients with Emphysema during Exercise Performance  Under Three Different Conditions (N= 50)   Physiologic Outcome  Control  Condition  Mean ±SD With Admin-  istration of  Oxygen  Mean ±SD With  Compressed  Air  Mean ±SDFp Dyspnean rating (110) 4.70±2.34.77±2.65.09±2.64.99.008 Heart rate (bpm)  121.1±13.6126.9±19.9126.0±21.112.54<.001 Oxygen saturation, SPO2(%) 91.0±3.994.4±4.089.9±4.19.80<.001 Breaths per minute 24.1±4.824.3±5.928.8±6.51.86.22\begin{array}{c}\text { Table 7 } \\\text { Physiologic Outcomes for Patients with Emphysema during Exercise Performance } \\\text { Under Three Different Conditions (N= 50) } \\\begin{array}{|l|c|c|c|c|c|}\hline \text { Physiologic Outcome } & \begin{array}{c}\text { Control } \\\text { Condition }\\\\\text { Mean } \pm S D\end{array} & \begin{array}{c}\text { With Admin- } \\\text { istration of } \\\text { Oxygen } \\\text { Mean } \pm S D\end{array} & \begin{array}{c}\text { With } \\\text { Compressed } \\\text { Air } \\\text { Mean } \pm S D\end{array} & \boldsymbol{F} & \boldsymbol{p} \\\hline \text { Dyspnean rating }(1-10) & 4.70 \pm 2.3 & 4.77 \pm 2.6 & 5.09 \pm 2.6 & 4.99 & .008 \\\hline \text { Heart rate (bpm) } & 121.1 \pm 13.6 & 126.9 \pm 19.9 & 126.0 \pm 21.1 & 12.54 & <.001 \\\hline \text { Oxygen saturation, } \mathrm{SPO}_{2}(\%) & 91.0 \pm 3.9 & 94.4 \pm 4.0 & 89.9 \pm 4.1 & 9.80 & <.001 \\\hline \text { Breaths per minute } & 24.1 \pm 4.8 & 24.3 \pm 5.9 & 28.8 \pm 6.5 & 1.86 & .22 \\\hline\end{array}\end{array} -Refer to Table 7. What were the degrees of freedom between (df treatment) in these analyses?


A) 2
B) 3
C) 47
D) 49

E) B) and D)
F) B) and C)

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If a researcher found a significant interaction effect, it would mean that:


A) Both of the main effects were also significant
B) Neither of the main effects was significant
C) The means for different levels of one variable were not consistent across different levels of another
D) The means for one variable were different from the means for the second variable

E) A) and B)
F) All of the above

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Which of the following is not true?


A) The effect size index in ANOVA is η2.
B) The effect size index in ANOVA indicates the proportion of variance in the dependent variable accounted for by the independent variable.
C) An effect size of .15 in an ANOVA context would be considered small.
D) The effect size index in ANOVA is different than that used for a t-test.

E) None of the above
F) All of the above

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If the null hypothesis in an ANOVA situation were true, over the long run the value of F would be:


A) Zero
B) One
C) Depends on degrees of freedom
D) Depends on what type of ANOVA it is

E) B) and C)
F) A) and B)

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Questions pertain to the following table (Table 7) , which presents fictitious results regarding the effects of guided imagery on pain outcomes among patients with cancer.  Table 7  Physiologic Outcomes for Patients with Emphysema during Exercise Performance  Under Three Different Conditions (N= 50)   Physiologic Outcome  Control  Condition  Mean ±SD With Admin-  istration of  Oxygen  Mean ±SD With  Compressed  Air  Mean ±SDFp Dyspnean rating (110) 4.70±2.34.77±2.65.09±2.64.99.008 Heart rate (bpm)  121.1±13.6126.9±19.9126.0±21.112.54<.001 Oxygen saturation, SPO2(%) 91.0±3.994.4±4.089.9±4.19.80<.001 Breaths per minute 24.1±4.824.3±5.928.8±6.51.86.22\begin{array}{c}\text { Table 7 } \\\text { Physiologic Outcomes for Patients with Emphysema during Exercise Performance } \\\text { Under Three Different Conditions (N= 50) } \\\begin{array}{|l|c|c|c|c|c|}\hline \text { Physiologic Outcome } & \begin{array}{c}\text { Control } \\\text { Condition }\\\\\text { Mean } \pm S D\end{array} & \begin{array}{c}\text { With Admin- } \\\text { istration of } \\\text { Oxygen } \\\text { Mean } \pm S D\end{array} & \begin{array}{c}\text { With } \\\text { Compressed } \\\text { Air } \\\text { Mean } \pm S D\end{array} & \boldsymbol{F} & \boldsymbol{p} \\\hline \text { Dyspnean rating }(1-10) & 4.70 \pm 2.3 & 4.77 \pm 2.6 & 5.09 \pm 2.6 & 4.99 & .008 \\\hline \text { Heart rate (bpm) } & 121.1 \pm 13.6 & 126.9 \pm 19.9 & 126.0 \pm 21.1 & 12.54 & <.001 \\\hline \text { Oxygen saturation, } \mathrm{SPO}_{2}(\%) & 91.0 \pm 3.9 & 94.4 \pm 4.0 & 89.9 \pm 4.1 & 9.80 & <.001 \\\hline \text { Breaths per minute } & 24.1 \pm 4.8 & 24.3 \pm 5.9 & 28.8 \pm 6.5 & 1.86 & .22 \\\hline\end{array}\end{array} -Refer to Table 7. Which statistical test is most likely being reported in this table?


A) One-way ANOVA
B) Two-way ANOVA
C) RM-ANOVA
D) It cannot be determined.

E) A) and C)
F) A) and D)

Correct Answer

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Questions pertain to the following table (Table 7) , which presents fictitious results regarding the effects of guided imagery on pain outcomes among patients with cancer.  Table 7  Physiologic Outcomes for Patients with Emphysema during Exercise Performance  Under Three Different Conditions (N= 50)   Physiologic Outcome  Control  Condition  Mean ±SD With Admin-  istration of  Oxygen  Mean ±SD With  Compressed  Air  Mean ±SDFp Dyspnean rating (110) 4.70±2.34.77±2.65.09±2.64.99.008 Heart rate (bpm)  121.1±13.6126.9±19.9126.0±21.112.54<.001 Oxygen saturation, SPO2(%) 91.0±3.994.4±4.089.9±4.19.80<.001 Breaths per minute 24.1±4.824.3±5.928.8±6.51.86.22\begin{array}{c}\text { Table 7 } \\\text { Physiologic Outcomes for Patients with Emphysema during Exercise Performance } \\\text { Under Three Different Conditions (N= 50) } \\\begin{array}{|l|c|c|c|c|c|}\hline \text { Physiologic Outcome } & \begin{array}{c}\text { Control } \\\text { Condition }\\\\\text { Mean } \pm S D\end{array} & \begin{array}{c}\text { With Admin- } \\\text { istration of } \\\text { Oxygen } \\\text { Mean } \pm S D\end{array} & \begin{array}{c}\text { With } \\\text { Compressed } \\\text { Air } \\\text { Mean } \pm S D\end{array} & \boldsymbol{F} & \boldsymbol{p} \\\hline \text { Dyspnean rating }(1-10) & 4.70 \pm 2.3 & 4.77 \pm 2.6 & 5.09 \pm 2.6 & 4.99 & .008 \\\hline \text { Heart rate (bpm) } & 121.1 \pm 13.6 & 126.9 \pm 19.9 & 126.0 \pm 21.1 & 12.54 & <.001 \\\hline \text { Oxygen saturation, } \mathrm{SPO}_{2}(\%) & 91.0 \pm 3.9 & 94.4 \pm 4.0 & 89.9 \pm 4.1 & 9.80 & <.001 \\\hline \text { Breaths per minute } & 24.1 \pm 4.8 & 24.3 \pm 5.9 & 28.8 \pm 6.5 & 1.86 & .22 \\\hline\end{array}\end{array} -Refer to Table 7. Which of the following statements is true, based on information in Table 7?


A) Mean dyspnea ratings were significantly higher with compressed air than with O2.
B) Interaction effects were statistically significant.
C) Mean SPO2 values were significantly higher for the two intervention conditions than for the control condition.
D) One or more assumptions for the ANOVA for heart rate was likely violated.

E) B) and C)
F) A) and D)

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Between-group variation in ANOVA involves differences between _______ to the ________.


A) Individual scores, group means
B) Individual scores, grand mean
C) Means of one group, means of another group
D) Group means, grand mean

E) A) and B)
F) B) and D)

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Two-way ANOVA might be appropriate for which of the following experimental designs?


A) Crossover design
B) One-group pretest-posttest design
C) Two-group before-after design
D) Factorial design

E) A) and B)
F) None of the above

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To look up an F statistic in a table to assess its significant, how many different degrees of freedom would be needed to obtain a value?


A) 1 df
B) 2 dfs
C) It would depend on how many groups are in the analysis.
D) It would depend on how many factors are in the analysis.

E) A) and B)
F) None of the above

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What distinguishes analysis of variance (ANOVA) from t-tests?


A) The null hypotheses regarding the equality of means
B) The underlying assumption of homogeneity of variances
C) The number of groups being compared
D) Applications for both within-subjects and between-subjects designs

E) B) and D)
F) None of the above

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The formula for the F ratio involves dividing a _______ by a _______.


A) Sum of square, mean square
B) Mean square, sum of square
C) Mean square, mean square
D) Mean square, sum of squares

E) C) and D)
F) B) and C)

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C

The __________ can be used to adjust _________ when one of the assumptions for RM-ANOVA cannot be met.


A) Mauchly test, F statistic
B) Mauchly test, df
C) Huynh-Feldt epsilon, F statistic
D) Huynh-Feldt epsilon, df

E) A) and D)
F) A) and B)

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