Paired Design - correct answer ✔Both treatments are applied to every sampled
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unit.
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Two-Sample Design - correct answer ✔Each treatment group is composed of an
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independent, random sample of units.
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Paired t-test - correct answer ✔Used to test a null hypothesis that the mean
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difference of paired measurements equals a specified value.
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Paired t-test Assumptions - correct answer ✔1) The sampling units are
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randomly sampled from the population.
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2) The paired differences have a normal distribution in the population.
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Standard Error of Y₁-Y₂ - correct answer ✔√s²p((1/n¹)+(1/n₂))
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Pooled Sample Variance - correct answer ✔s²p=(df₁s²₁+df₂s²₂)/(df₁+df₂) The
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average of the variances of the samples weighted by their degrees of freedom.
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Two-Sample t-test - correct answer ✔The simplest method to compare the
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means of a numerical variable between two independent groups.
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t=(Y₁-Y₂)/SEy₁-y₂
, Two-Sample t-test Assumptions - correct answer ✔1) Each of the two samples
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is a random sample from its population.
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2) The numerical variable is normally distributed in each population.
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3) The standard deviation (and variance) of the numerical variable is the same
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in both populations.
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Welch's Approximate t-test - correct answer ✔Compares the means of two
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groups and can be used even when the variances of the two groups are not
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equal.
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F-test - correct answer ✔Tests whether the variances of two populations are
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equal. F=s²₁(larger sample variance)/s²₂ (smaller sample variance)
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F-test Assumptions - correct answer ✔1) Both samples are random samples
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2) The numerical variable is normally distributed within both populations.
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Levene's Test - correct answer ✔Tests the difference between the variances of
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two or more populations.
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Levene's Test Assumptions - correct answer ✔1) Both samples are random
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samples
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2) The distribution of the variable is roughly symmetrical in both populations.
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Four Alternative Options for Analyzing Data that do not meet assumptions -
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correct answer ✔1) Ignore the violations of assumptions
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2) Transform the data
| | |
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unit.
|
Two-Sample Design - correct answer ✔Each treatment group is composed of an
| | | | | | | | | | |
independent, random sample of units.
| | | | |
Paired t-test - correct answer ✔Used to test a null hypothesis that the mean
| | | | | | | | | | | | |
difference of paired measurements equals a specified value.
| | | | | | | |
Paired t-test Assumptions - correct answer ✔1) The sampling units are
| | | | | | | | | |
randomly sampled from the population.
| | | | |
2) The paired differences have a normal distribution in the population.
| | | | | | | | | |
Standard Error of Y₁-Y₂ - correct answer ✔√s²p((1/n¹)+(1/n₂))
| | | | | | |
Pooled Sample Variance - correct answer ✔s²p=(df₁s²₁+df₂s²₂)/(df₁+df₂) The
| | | | | | |
average of the variances of the samples weighted by their degrees of freedom.
| | | | | | | | | | | | |
Two-Sample t-test - correct answer ✔The simplest method to compare the
| | | | | | | | | |
means of a numerical variable between two independent groups.
| | | | | | | | |
t=(Y₁-Y₂)/SEy₁-y₂
, Two-Sample t-test Assumptions - correct answer ✔1) Each of the two samples
| | | | | | | | | | |
is a random sample from its population.
| | | | | | |
2) The numerical variable is normally distributed in each population.
| | | | | | | | |
3) The standard deviation (and variance) of the numerical variable is the same
| | | | | | | | | | | |
in both populations.
| | |
Welch's Approximate t-test - correct answer ✔Compares the means of two
| | | | | | | | | |
groups and can be used even when the variances of the two groups are not
| | | | | | | | | | | | | | |
equal.
|
F-test - correct answer ✔Tests whether the variances of two populations are
| | | | | | | | | | |
equal. F=s²₁(larger sample variance)/s²₂ (smaller sample variance)
| | | | | | |
F-test Assumptions - correct answer ✔1) Both samples are random samples
| | | | | | | | | |
2) The numerical variable is normally distributed within both populations.
| | | | | | | | |
Levene's Test - correct answer ✔Tests the difference between the variances of
| | | | | | | | | | |
two or more populations.
| | | |
Levene's Test Assumptions - correct answer ✔1) Both samples are random
| | | | | | | | | |
samples
|
2) The distribution of the variable is roughly symmetrical in both populations.
| | | | | | | | | | |
Four Alternative Options for Analyzing Data that do not meet assumptions -
| | | | | | | | | | |
correct answer ✔1) Ignore the violations of assumptions
| | | | | | | |
2) Transform the data
| | |
