Confidence in data
the level of certainty or belief in the accuracy, reliability, and usefulness of data for decision-making
Hypothesis testing
Hypothesis testing is a systematic procedure for deciding whether the results of a research study support a particular theory which applies to a population.
Figure out your null hypothesis,
State your null hypothesis
Choose what kind of test you need to perform,
Either support or reject the null hypothesis
significance level (α)
a threshold used to determine whether a result is statistically significant
probability value (p)
used to assess the significance of the statistical test. The p value is compared to the significance level (α) to determine if the data is significant or not. If p< (α) then the null hypothesis is rejected. The alternative hypothesis is true. Thus, the result is significant.
f-test
compares: two variances
type of data: numerical
of groups/variables: 2 groups
example: variance in test scores between 2 classes
t-test
compares: two means
type of data: numerical
of groups/variables: 2 groups
example: avg weight loss: diet a vs diet b
ANOVA
compares: three or more means
type of data: numerical
of groups/variables: 3+ groups
example: avg scores across 3 teaching styles
chi squared
compares: relationships between categories
type of data: categorical
of groups/variables: 2+ categories
example: is gender linked to favourite colour?