Variability Flashcards
Variability
Data collected from humans is varied
Value used to represent natural variation between ppt scores and sample means is standard deviation
Total variance = systematic and unsystematic variance
Error bars provide indication of spread of data (variation)
Wider error bars indicate more variation in scores
Standard deviation
Average amount of deviation between ppt and sample mean
Unsystematic variance
Mean difference between experimental conditions
Systematic variance
Standard error
Estimate of the deviation between our sample and population means
Large value = a lot of variation
Sample mean will unlikely be exactly the same as the population mean
Increasing unsystematic variation increases uncertainty
95% Cl error bars estimate he effects we should find in our population
Uses standard error to take into account amount of deviation we would have
Top bar= upper 95% confidence interval
Middle circle= mean
Bottom bar= lower 95% confidence interval
Effect
Mean difference
Eg., mean - mean =
Error
Standard error
SD of mean differences / standard error =
Inferences
T test compares estimate of error against effect
Effect / error =
T(…)=…., p= ….
P value
Small p value means probability of finding effect if no effect in population is very small
Probability of null hypothesis is true
If the probability of finding an effect that doesn’t exist in the population is
Inferential statistics
We need to generalise
Allows us to generalise from a small sample population
Do not know population mean and standard deviation
Small samples will not be representative of population
Results in flawed estimates of error
Effect size
Standardised measure of how important the difference / effect is that you found in the sample
(Magnitude of effect)
Magnitude of effect for tests with 2 comparisons
Eg t tests
Cohen’s d
Provides measure of distance between 2 means in standard deviations
Amount of overlap in %
High overlap = small d
Low overlap = High d
Magnitude of effect
Partial eta squared
np2
How much of the total variance is accounted for by the treatment effect (systematic variance)
Value provided by SPSS converter into proportion eg 0.375 = 37.5%