Word Doc Week 4 Flashcards
What is a t-test?
- One of the simplest of statistical tests
- Used to test questions around mean differences
- Is there a significant difference between two means?
Three types of t-test
- Single-sample t-test
- Independent samples t-test
- Paired or matched or repeated samples t-test
Null Hypothesis
- States that there is no relationship between the two variables being studied
- Results are due to chance
- Results are not significant in terms of supporting the idea being investigated
Alternative Hypothesis
- States that there is a relationship between the two variables being studied
- The results are not due to chance
- They are significant in terms of supporting the theory being investigated.
Single-Sample t-test
- Is there a statistically significant difference between your sample mean and a known comparative population or large-sample value?
Independent Samples t-tests
- Is there a statistically significant difference between two sample means taken from a categorical/grouping/nominal variable in your sample?
Paired samples t-test
- Is there a significant difference between the means associated with two separate, complete variables in your data
- Is there a difference between the means associated with a pair of variables.
- Used to test paired, repeated or matched data
- Each subject has given a pair of values
- Each value is represented in separate variables in the data
How to do t-tests in SPSS
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Two different versions are provided
- Equal variances assumed
- Equal variances not assumed.
- Look at Sig. for equality of variance test first.
- If p < .05, it means that homogeneity of variance has been violated
- The variance is not equal
- Therefore use Equal variances not assumed.
- If p > .05 it means that homogeneity of variance has been met
- Variance is approximately equal; therefore use Equal variances assumed.
How to write up results of t-test - Question This??
The homogeneity of variance assumption was found to be met, p = .67; therefore, statistical testing assumed equal variances. Men were found to have significantly higher occupational prestige scores than women, t(1416) = 2.34, p = .019.
Repeated Measures Designs
- Also Known As within samples designs
- Each subject gives you daa on every level of the independent variable
eg: taking BSL scores before and after eating
Are there Alternative Repeated Measures Designs?
- Matched samples
- Randomised blocks
eg: compare weight loss with:
- Diet only
- Exercise only
- Combination Diet & Exercise
How to write up Paired Sample t-test
A paired-sample t-test revealed no significant difference between the number of years of formal education for mothers and fathers, t(973) = 0.07, p = .94.
Single-sample (one-way) t-test
- Not so common
- Used to test your sample mean against a comparison value
- An established normative score
- Another researcher’s result
- A known population parameter
- A single-sample t-test revealed a significant difference between the sample mean for number of respondents’ children (M = 1.90, SD = 1.77) compared against the hypothesised population value of 2, t(1508) = 2.17, p = .03.