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study help
mathematics
using interpreting statistics
Questions and Answers of
Using Interpreting Statistics
Writing APA format with α = .05, two-tailed.Given df = 87 and r = −.18, write the results in APA format.
If r(18) = −.50, p < .05,(a) Was the null hypothesis rejected, and(b) Were the results statistically significant?
If r(80) = −.18, p > .05,(a) Was the null hypothesis rejected, and(b) Were the results statistically significant?
If r(24) = .36, p > .05,(a) What conclusion can be drawn about the existence of a relationship between X and Y in the population?(b) Comment on the direction of the relationship in the population.
If r(30) = .40, p < .05,(a) What conclusion can be drawn about the existence of a relationship between X and Y in the population?(b) Comment on the direction of the relationship in the population.
If r = .32,(a) Calculate r squared and(b) Classify the effect as small, medium, or large.
If r = −.05,(a) Calculate r squared and(b) Classify the effect as small, medium, or large.
Transforming r to zr.If r = −.46, what is zr?
Transforming r to zr.If r = .33, what is zr?
Calculating sr.If N = 81, what is sr?
Calculating sr.If N = 36, what is sr?
If zr = −0.34 and sr = .24, what is the 95% confidence interval for ρ in zr units?
If zr = 0.87 and sr = .08, what is the 95% confidence interval for ρ in zr units?
If r = .54 and N = 45, what is the 95% confidence interval for ρ in zr units?
If r = −.28 and N = 144, what is the 95% confidence interval for ρ in zr units?
If a 95% confidence interval for ρ in zr units ranges from −0.85 to −0.41, what is it in r units?
If a 95% confidence interval for ρ in zr units ranges from −1.52 to −0.26, what is it in r units?
A 95% confidence interval for ρ ranges from −.09 to .93.a. Was the null hypothesis rejected?b. Were the results statistically significant?c. Could the relationship between X and Y in the
A 95% confidence interval for ρ ranges from .61 to .70.a. Was the null hypothesis rejected?b. Were the results statistically significant?c. Could the relationship between X and Y in the population
A kinesiologist and a psychologist collaborated on a study to investigate the relationship between exercise and mental health. They obtained a random sample of 1,002 American men. They administered
An economist wanted to investigate the relationship between the personality variable of conscientiousness and saving money. She obtained a random sample of 502 white collar workers. She had each
Completing all six steps of hypothesis testing.A dentist wanted to determine if a relationship existed between childhood fluoride exposure and cavities. She took a sample of adults in her practice
Completing all six steps of hypothesis testing.A sociologist wanted to see if there was a relationship between a familys educational status and the eliteness of the college that their
Dr. Smith had a sample of 19 cases, violated no assumptions, and calculated r = .46. She was conducting a two-tailed test with α = .05. r2 = 21.16 and the 95% CI ranges from .01 to .76. What type of
Dr. Jones had 92 cases, violated no assumptions, conducted a two-tailed test with α = .05, and calculated r = −1.26. Which are accurate descriptions of the relationship between X and Y? (Select as
The owner of a hair salon is curious about the relationship between the amount of hair cut and the amount of money earned by the stylists. At the end of a randomly selected day, she weighed the
____-way ANOVA examines the impact of two independent variables at the same time.
A 2 × 3 ANOVA could also be called a ____ × ____ ANOVA.
“Between subjects” means ____ samples and “____ subjects” means dependent samples.
Two-way ANOVA, three-way ANOVA, and four-way ANOVA are all examples of ____ ANOVA.
There is an advantage in performing one ____- way ANOVA over two ____-way ANOVAs.
If every level of one independent variable occurs with every level of the other independent variable, then the two independent variables are said to be ____.
A two-way ANOVA has two ____ effects and one ____ effect.
An interaction occurs when the effect of one independent variable on the dependent variable ____ on the level of the other independent variable.
If the lines in a graph are ____, then an interaction exists.
If each cell has the same sample size, the cell means in a row can be averaged to find the ____.
Row means and column means give information about ____ effects.
If the interaction effect is statistically significant, ____ interpret the main effects.
In a between-subjects, two-way ANOVA, the groups are ____ samples.
The random samples assumption says that the sample is a ____ from the ____ to which one wishes to generalize the results.
If cases in a cell influence each other’s scores on the dependent variable, then the ____ assumption is violated.
The ____ assumption is tested by looking at cell standard deviations.
In a two-way ANOVA, there are ____ sets of hypotheses.
The row’s null hypothesis states that the ____ for all levels of the row variable are equal.
The alternative hypothesis for the columns says that ____ one of the population column means differs from ____ one of the other population column means.
The alternative hypothesis for the interaction effect says that there is ____ for at least one cell.
Decision rules exist for the columns main effect, the rows main effect, and the ____.
The decision rule for the interaction effect involves comparing FInteraction to ____.
The number of degrees of freedom for the row effect depends on ____.
The denominator degrees of freedom for all the F ratios calculated for a between-subjects, two-way ANOVA is degrees of freedom ____.
Finding Fcv in Appendix Table 4 depends on knowing the numerator ____ and denominator ____ for the F ratio.
If FInteraction < Fcv Interaction, then the null hypothesis is ____.
Total variance in between-subjects, two-way ANOVA is divided into two factors: ____ and ____.
SS is the abbreviation for a sum of ____.
In between-subjects, two-way ANOVA, between group variability is divided into variability due to ____, ____, and ____.
To calculate a mean square, one divides a ____ by its ____.
MSInteraction divided by MSWithin calculates ____.
When an ANOVA summary table for a between- subjects, two-way ANOVA is completed, there are ____ F ratios.
If a null hypothesis is rejected, the result is called ____.
If results, in APA format, are written as p > .05, the null hypothesis was ____.
p < .05 means that alpha was set at ____.
Only interpret a main effect if ____.
____ is the effect size used for between-subjects, two-way ANOVA.
Eta squared is calculated for both ____ effects and for the ____.
An effect of ≈ ____% is considered a medium effect.
Eta squared can alert one to the risk of ____ error if the effect was not statistically significant.
Post-hoc tests should only be used when an effect is ____.
If the row main effect is statistically significant and there are only two rows, it is / is not necessary to do a post-hoc test for the row effect.
If two cells differ by exactly the HSD amount, then the difference is ____.
The HSD value for the interaction effect is used to compare ____ means.
A dentist randomly assigns people to use one of three different forms of dental hygiene: (1) Dental floss, (2) Wooden toothpicks, or (3) Anti-plaque rinse. After six months he measures, in grams, how
The American Psychological Association wanted to determine if there was a difference in post-graduation success between BA and BS degrees in psychology. It put together a random sample of students
Male and female athletes exercised for an hour on a treadmill. During this time, half of each sex was assigned to drink water and half was assigned to drink a sport beverage. At the end of the hour,
To study accommodation to the loss of an eye, a sensory psychologist obtained 10 volunteers who agreed to wear an eye patch over one eye for 4 weeks. To test visual ability, the psychologist used a
There are 10 participants in each cell. Each cell is an independent sample. The design is fully crossed. The value in each cell is the cell mean. Calculate(a) Row means and(b) Column means for this
There are 17 participants in each cell. Each cell is an independent sample. The design is fully crossed. The value in each cell is the cell mean. Calculate(a) Row means and(b) Column means for this
Given the cell means, row means, and column means below,(a) Graph the results to determine if there is an interaction;(b) Speculate about which effects would be statistically significant;(c) Indicate
Given the cell means, row means, and column means below,(a) Graph the results to determine if there is an interaction;(b) Speculate about which effects would be statistically significant;(c) Indicate
Eighty volunteers who read about a study in a newspaper were randomly assigned to be in the experimental or control group. Within each group, participants were randomly assigned to one of four
A researcher was interested in the impact of different types of day care on childrens development. She obtained samples of children who (a) Had been watched by a babysitter at home; (b)
List all the hypotheses for the ANOVA described in Exercise 12.53 for(a) Rows,(b) Columns, and(c) Interaction.Data from exercise 12.53Eighty volunteers who read about a study in a newspaper were
List all the hypotheses for the ANOVA described in Exercise 12.54 for(a) Rows,(b) Columns, and(c) Interaction.Data from exercise 12.54A researcher was interested in the impact of different types of
If R = 3, C = 4, and n = 8, calculate the degrees of freedom for the following effects:(a) Rows,(b) Columns,(c) Interaction,(d) Within groups,(e) Between groups, and(f) Total.
If R = 2, C = 3, and n = 11, calculate the degrees of freedom for the following effects:(a) Rows,(b) Columns,(c) Interaction,(d) Within groups,(e) Between groups, and(f) Total.
If α = .05, dfRows = 2, dfColumns = 2, dfInteraction = 4, and dfWithin = 36, find(a) Fcv Rows,(b) Fcv Columns, and(c) Fcv Interaction.
If α = .05, dfRows = 3, dfColumns = 1, dfInteraction = 3, and dfWithin = 40, find(a) Fcv Rows,(b) Fcv Columns, and(c) Fcv Interaction.
If Fcv Interaction is 2.668, what is the decision rule for the interaction effect?
If Fcv Rows is 3.295, what is the decision rule for the rows effect?
If SSRows = 17.50, SSColumns = 13.75, SSInteraction = 22.25, and SSWithin = 44.75, calculate(a) SSBetween and(b) SSTotal.
If SSRows = 123.60, SSColumns = 80.30, SSInteraction = 20.80, and SSWithin = 168.20, calculate(a) SSBetween and(b) SSTotal.
If SSWithin = 168.48 and dfWithin = 40, calculate MSWithin.
If SSInteraction = 0.60 and dfInteraction = 4, calculate MSInteraction.
If MSRows = 17.30 and MSWithin = 3.33, what is FRows?
If MSColumns = 66.54 and MSWithin = 78.88, what is FColumns?
Given R = 2, C = 2, n = 5, SSRows = 15.00, SSColumns = 12.00, SSInteraction = 34.00, and SSWithin = 120.00, complete the ANOVA summary table for a between-subjects, two way ANOVA.
Given R = 2, C = 4, n = 12, SSRows = 78.00, SSColumns = 23.00, SSInteraction = 124.00, and SSWithin = 350.00, complete the ANOVA summary table for a between-subjects, two-way ANOVA.
If Fcv = 3.443 and F = 17.55, was the null hypothesis rejected?
If Fcv = 3.191 and F = 2.86, was the null hypothesis rejected?
If FInteraction = 3.70, dfInteraction = 2, dfWithin = 66, and Fcv Interaction = 3.138, write the results in APA format. Use α = .05.
If FRows = 2.87, dfRows = 2, dfWithin = 171, and Fcv Rows = 3.053, write the results in APA format. Use α = .05.
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