T test Flashcards
(85 cards)
What does the T test assess?
Differences in the means of 2 data sets
Assumptions of the T test
- Sample drawn from normal population
- randomly selected
- homogeneity of variance
Why T test instead of Z test?
-Z test innacurate with small sample sizes
-T distributions are similar in shape to normal distributions but have thicker walls
What does the student’s T test account for?
Bias in the estimate of the SEm (standard error of the mean)
Types of T tests
- Single Sample
- Independent
- Dependent
what does a single sample T test compare?
mean against a known population
(actual mean difference between the sample and the population)
what does an independent t test compare?
samples independent from one another
Usually compares two different groups of people
What does a dependent t test compare?
Repeated measures
correlated samples (same subject tested twice)
What is the t -ratio?
-Signal to noise ratio
-signal = difference between means (numerator)
-Noise = standard error of the mean difference (denominator)
Important points about the T test
T test does not identify the causative factor
Purpose of a repteated measures t test
If subjects are tested more than once
i.e. pretest posttest
What is the Size of Effect, why is it relevant?
The magnitude of difference
Just because an effect is statistically significant does not necessarily mean that the effect is meaningful.
SSW
Sum of Squares within: how much variation is there within the sample
SSB
Difference between group mean and mean of means (between groups)
group mean - grand mean squared for each group.
how much variation there is between the samples
What is the F statistic
Test value for an ANOVA
What is the result if F stat is higher than F critical
Reject Ho accept Ha
What is alpha level
Probability of rejecting null hypothesis when its true (type I error)
What is the result if p is less than alpha?
Reject Ho
What does an ANOVA test?
the liklihood that the samples came form the same population
compares the means of two or more groups
What is the F - Ratio?
The ratio of the between group and within group variance
Why do an ANOVA instead of multipel T tests?
Increased risk of type 1 error
What is the F value if the null hypothesis is true?
F = 1
What is sheffe’s CI?
Most conservative Post Hoc Test
All possible comparisons - combo comparisons (more than just pairwise)
Example of scheffe’s analysis
average of several different treatments against control