PSYC1040 Week 10 + 11 Flashcards

Cohen's d, the independent groups t-test, confidence intervals

1
Q

Effect size catch up (Cohen’s d)

A
  • when comparing two means, a simple measure of ‘effect size’ is to state the difference between means in SD’s.
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2
Q

d versus t (for a single sample or repeated measures situation)

A
  • d is a difference expressed in SD’s while t is a difference expressed in SE’s
  • therefore, d won’t be affected by SS but t will be larger in larger samples
  • d can be extreme even in a small sample, but t might still be non-significant
  • you can obtain a very large mean difference that is not statistically reliable
  • any difference will be statistically significant if the SS is large enough
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3
Q

The independent groups t-test: logic, conditions, steps and example: in a repeated measures study

A
  • each participant is measured in two situations, so has two raw scores
  • do the difference scores have a mean further from 0 than we would usually expect if we drew a sample from a population of different scores with m=0?
  • we run a repeated measures t-test (a single sample test on difference scores)
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4
Q

The independent groups t-test: logic, conditions, steps and example: in an independent groups study

A
  • some participants are measured in one situation and other participants are measured in another situation
  • is the difference between group means larger than we would usually expect if we just drew two samples from the same population?
  • we run an independent groups t-test
  • we want to find out how likely a given difference between two sample means would be, if both samples were drawn from the same population
  • if two samples are drawn randomly from the same population, the two sample means will usually be different from each other
  • to test the Null Hypothesis, we need an idea of how often a difference between means as large as the one we observed would occur just by chance
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5
Q

confidence intervals

A
  • the critical t-value tells us how many SE’s apart two values need to be statistically significant different
  • therefore, to find our ‘confidence interval,’ we just need to find the raw values that are that far away on either side of our obtained value
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