Power & statistics + statistics revision presentation Flashcards
Power
The probability of making a correct decision (to reject the null hypothesis) when the null hypothesis is false
The probability that a test of significance will pick up on an effect that is present
If results are due to chance…
Then the null hypothesis must be accepted (although there may be a difference in two data set, the difference is too small to be significant and therefore is due to chance)
When is the null hypothesis rejected?
The probability that the results are due to chance is less than 5%
Measures of central tendency
Mode, median, mean
Levels of data
Nominal, ordinal, interval, ratio (lowest to highest)
Nominal
Categorial, most non numerical data.
Bimodal
When there are two equally frequent responses
Ordinal
Ranked data (something is ‘first’ or ‘second’ – when a number does not have a numeric value)
(should use median rather than the mean)
Interval
Interval data uses equal units (can use mean and standard deviation)
Ratio
Ratio data has an absolute zero (most commonly used + use mean and standard deviation)
Dispersion
Tells us how consistent or different the data is (spread of data)
Semi-interquartile range
Eliminates all outliers and focuses on the central set of data (eliminates lowest and highest quartile of the data – (Q3-Q1)/2)
Standard deviation
The average difference between each data point and the mean
Inferential statistics
The concept of significance
Errors when calculating the significance
- Reject null hypothesis but the null hypothesis is true
- Retain the null hypothesis but the null hypothesis is false
Mann Whitney U
Used when you have an independent samples design
Wilcoxon signed ranks
Used when you have a repeated measures design
T test
High in power, used only if you think your data lacks outliers and does not have a significant skew
Anova
Analysis or variance – used to determine whether there are any statistically significant differences between the means or two or more independent groups
Conclusion
- A statement with the p value and what that means for your null hypothesis
- An explanation of what this means in the context of the IV and DV that was investigated