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22 Cards in this Set
- Front
- Back
Inferential statistics
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used to infer what the effect is for the whole population of insomniacs
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Descriptive statistics
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describe our data (these 10 people)
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Sampling Error
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sample doesn't represent the population completely. sample has unique characteristics
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Sampling error's relationship to probability
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how much of the probability is due to sampling error? or is it really something else?
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Primary goal of hypothesis testing
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use a sample to test hypothesis about the relationship between variables in the population
Answers the question: how likely is it that our results occurred by chance? |
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Alternative Hypothesis (H1)
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when people take our new drug, they will sleep more
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Null Hypothesis (Ho)
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logical counterpart to the alternative hypothesis
*if Ho is false, H1 is true *If Ho is true, H1 is false **Ho and H1 are mutually exclusive |
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Hypothesis Testing
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If H1 is nondirectional, Ho will be nondirectional
If H1 is directional, Ho will be directional |
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Hypothesis testing
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We always evaluate the reasonableness of the null hypothesis
*Critical point: we don't directly evaluate the alternative hypothesis |
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Hypothesis testing
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tell us how likely it is that our results are due to chance; reject or retain the null hypothesis
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alpha level
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can be any probability (most common .05 and .01)
-if the probability of our results occurring by chance are less than alpha, then we reject the null -if the prob. of our results occurring by chance exceed alpha, then we can't reject the null |
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Sign test
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-an inferential statistic, ignores the magnitude of difference scores and considers only their direction and sign
*how many pluses and minuses? |
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Errors
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in reality, Ho is either true or false, we either reject or retain the Ho
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Type 1 error
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a decision to reject the null hypothesis when the null is true
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Type 2 error
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decision to retain the null hypothesis when the null is false
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setting alpha to .05
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willing to limit the probability of rejecting the null hypothesis when it's true to 5 times in 100, limits the probability of making a type 1 error to .05
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directional hypothesis
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more specific, indicates which group will score higher/lower
ex) when people take our new drug they will sleep more |
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nondirectional hypothesis
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ex) when people take our new drug, it affects their sleep
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directional hypothesis
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1 tailed test
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nondirectional hypothesis
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2 tailed test
-one group can be less than OR greater than the other group -you divide alpha in to 2 equal parts of the distribution (1 part for each of the tails) |
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Nondirectional hypothesis
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evaluate the probability of observing the obtained results or any more extreme result in both directions (both tails)
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Rule of thumb
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the evaluation should always be 2 tailed unless the experimenter will retain Ho when results are extreme in the direction opposite to the predicted direction
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