A set of people, animals, or objects that share at least one characteristic in common
Sample
A subset of the population that we use to draw inferences about the population
Statistical inference
The process by which we make statements about a population based on a sample
Null hypothesis (H0)
A type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations
Alternative hypothesis (H1)
It claims that there's an effect in the population
Significance level (alpha level)
Our criterion for deciding whether to accept or reject the null hypothesis
Significance levels and error types
0.01 (1% error, 99% confidence)
0.05 (5% error, 95% confidence)
Type 1 error (α)
Rejecting the null hypothesis when it is correct
Type 2 error (β)
Accepting the null hypothesis when it is false
Critical region
A region of distribution of a test statistic sufficiently extreme to reject the null hypothesis
Measures of central tendency
Mean
Median
Mode
Measures of variability
Range
Variance
Standard deviation
Levels of measurement
Nominal
Ordinal
Interval
Ratio
Chi-square test
Used when the data are nominal and the groups are independent
test
A statistical test used to compare the means of two groups
Steps in interpreting a t-test result
1. Compute the t-statistic
2. Determine if the p-value is lower or greater than 0.05
3. Check the descriptive statistics to know the mean and standard deviation of the two groups
value
The exact probability that the observed results would occur by chance if the null hypothesis is true
Independent t-test
Tests whether the means of two independent groups are different
Matched t-test
Tests whether the means of two matched groups are different
One-way ANOVA
Suitable for experiments with only one independent variable (factor) with two or more levels
Two-way ANOVA
Evaluates the effect of two different independent variables on one dependent variable
Repeated measures ANOVA
Used when the same subjects are used for each treatment (i.e., repeated observations for each subject)
MANOVA
Enables the examination of multiple dependent variables simultaneously
Post hoc tests
Performed when an overall ANOVA is significant and no specific predictions have been made, to examine all pairs of treatment groups
In reporting statistical results, report the descriptive statistics (mean and standard deviation), test statistic, degrees of freedom, obtained value of the test, and the probability of the result occurring by chance (p value)
All statistical symbols that are not Greek should be italicised (M, SD, N, t, p, etc.)