Question

This semester we have discussed the following statistical analyses.

Z-test
One-Sample
*t*-test
Independent Groups
*t*-test
Repeated Measures *t*-test

One-Way ANOVA Repeated Measures ANOVA Correlation

Fill in the table with the correct defining term.

? is given |
µ is given |
Groups Compared |
Test Used |

No | No | Looks at the same group at 2 different times or across two different conditions | |

Yes | Yes | Sample against population | |

X | X | Examines the degree to which two variables relate to one another | Correlation |

No | No | Looks at the same group at 3 or more times or across 3 or more conditions | |

No | No | Examines mean differences between two different groups | |

No | Yes | Sample against population | |

No | No | Examines mean differences between 3 or more groups |

Answer #1

The correct matches will be:

? is
given |
µ is
given |
Groups
Compared |
Test Used |

No | No | Looks at the same group at 2 different times or across two different conditions | Repeated Measures t-test |

Yes | Yes | Sample against population | Z - test |

X | X | Examines the degree to which two variables relate to one another | Correlation |

No | No | Looks at the same group at 3 or more times or across 3 or more conditions | Repeated Measures ANOVA |

No | No | Examines mean differences between two different groups | Independent Groups t-test |

No | Yes | Sample against population | One-Sample t-test |

No | No | Examines mean differences
between 3 or more groupsOne-Way ANOVA |

An experiment consists of three groups (Treatment Group 1,
Treatment Group 2, Placebo Group). What test was MOST likely
used?
Repeated Measures T-test
Z-test
Single Sample T-test
ANOVA
The population mean difference for a T-test of Independent
Samples is ALWAYS
0
1
equal to the population mean minus the sample mean
can't answer/not enough information
A research study reported a LARGE effect size of .8. What effect
size formula was used?
Scheffe
Cohen's D
Tukey
Correlation
.10
.001
.05
.5

What causes the p-value to be the same in an independent sample
t-test and as a one-way ANOVA?
1. Is it because dependent variables are the same while the
independent variable is different across the two methods?
2. Because ANOVA is a special case of the independent samples
t-test.
3. Because ANOVA is a generalization of the independent sample
t-test?

Encircle the letter that corresponds to your answer:
1. When one analyses data based on a sample, one
calculates a
Parameter b) variable c)
constant d) statistics 2. Mathematical methods used to draw
tentative conclusions about a population based on sample Data are
referred to as
Descriptive statistics b) sample
statistics c) inferential statistics d)
random sampling 3. The mean is ____ sensitive to extreme scores
than the median.
More b)
equally c) less 4. If a distribution
of raw...

HW 6: z-test, t-test for independent samples, t-test for related
samples, 1-way ANOVA
Researchers wanted to explore different treatment methods to
effect memory skills in high school freshmen. Subjects were given a
memory test (under multiple conditions) these were the results:
Group 1
10, 8, 9, 11,
8, 9, 7, 6,
9, 8
Group 2
12, 10,
11, 9, 13, 8, 9, 12, 11, 11
Group 3
10, 9, 10, 9, 11,
8, 7, 9, 10, 11...

Is there any difference between a Factorial ANOVA and a One-Way
ANOVA?
Yes, a Factorial ANOVA has 2+ IVs, whereas a One-Way ANOVA has
only 1 IV.
Yes, the main purpose of a Factorial ANOVA is to test if two or
more groups are significantly different from each other, whereas a
One-Way ANOVA compares means across two or more independent
variables.
No, both tests are the same.
Yes, Factorial ANOVA results in the calculation of three F
ratios, whereas two...

For each of the following studies determine which t-test is the
appropriate analysis (one sample, repeated measures, independent
samples).
A researcher is examining whether a cognitive behavioral
therapy has an effect on levels of anxiety. She records the level
of anxiety in a group of patients prior to therapy, and again after
the 8-week therapy.
A professor is interested in seeing whether or not his class is
more neurotic than an estimated population mean. He records his
class’s neuroticism score...

discuss the differences between a one-sample z-test, one-sample
t-test, the independent samples t-test and the dependent samples
t-test. Specifically, under what circumstances would you conduct
each test and what type of information comes from a known/defined
population versus your sample data?

Q1. Why would you perform a one-way ANOVA over
a t-test? Is the answer, when the population means of only two
groups is to be compared, a t-test is used, but
when means of more than two groups are to be compared,
ANOVA is preferred (Y/N)
Q2. A rag-tag group of bandits crash the party
to steal candy. In a frenzy, you carefully record the numbers of
different candies that group grabbed. You arrange
the data in a table, below:...

For each hypothesis, the specific statistical test appropriate
for testing the hypothesis should be described and a brief
description of why the chosen test is most appropriate should be
included.
One Sample t-test, Two sample t-test, Two related
(correlated/paired/dependent)sample t-test, One Factor (one way)
analysis of variance (ANOVA), Factorial for two way/facot Analysis
of Variance (Anova), One Variable Chi-Square test, two variable chi
square test, correlation, or linear regression
Example:
1. People who work in a sedentary job are more...

Which of the following is true about the one sample z-test and
one sample t-test:
for a t-test, the population mean and standard deviation are
needed.
The z and t-tests are identical in terms of the amount of
information needed.
for a t-test only the sample mean is needed.
for a z-test the population mean and standard deviation are
needed.
The z and t-tests are identical except for the size of the
sample used.

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