Hypothesis Testing Week 3 Flashcards
What is the central limit theorem?
The theory that, with repeated sampling of a distribution, a distribution will become approximately normal
What are the three main concepts of hypothesis testing
- statistically significant difference
- reject/non reject
- can these results be generalised
What is sampling error?
The difference between the mean of your sample and the corresponding mean in the population
Do smaller or larger samples have a greater likelihood of sampling error?
Smaller
What is the null hypothesis?
that your samples come from populations where there is no difference between population means. any difference that is found in the sample is simply due to chance.
What is the alternative hypothesis?
You will find a difference
Do we test the null or the alternative hypothesis?
The null
If we reject the null, we must…
Accept the alternative
Describe statistical significance
The likelihood of a result happening that is not due to chance.
When do you reject the null hypothesis?
When the likelihood of your means occurring by chance alone is less than .05 (significant)
When do you accept the null hypothesis?
When the likelihood of your means occurring by chance alone is over .05, aka there is no significant difference that is due to anything other than chance.
What does the p-value tell us?
the probability of getting the data you have given the assumption of the null hypothesis
With a p-value of less than .05, we….
Reject the null hypothesis; the difference is significant
With a p-value over .05, we…..
Accept the null hypothesis - it must be due to chance.
What is reliability?
The degree to which measurements are repeatable or stable over time