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- distribution is known/ can be estimated - assume there is no effect or no difference |
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there is an effect or difference |
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no reason to think that hypothesis is wrong, no evidence that treatment has no effect |
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why fail to reject and not accept? |
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o It is tradition o Decision is based on just 1 data o Claim can be disproven with one example, but even 1 million examples in favour, cannot prove a claim |
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the null hypothesis is true, but you reject it (alpha) |
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you fail to reject the null hypothesis, but it is false (beta) |
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0.05 (split into 2 = 0.025) - Use when not sure if data will increase or decrease (can move either way) |
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0.05 - One sided movement - More likely to reject |
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measure the size of effect or difference, without influence of sample size |
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probability of reject the null hypothesis when it is false - goal of a lot of studies - generally want it to be 0.8 |
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factors that effect power |
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- increasing the effect size, increases power - decreasing variability increases power - decreases standard deviation or increasing n increases power - increasing standard error increases power - increase alpha (type 1 error) increases power |
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- paired samples, matched samples, dependent samples, repeated measures, within subject - 2 samples - Pre-test vs post-test - Performance of same group of participants at 2 different times/conditions o Ex. Measure on midterm, measure on final o Related samples = ex. Husband and wife |
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- Between subjects - 2 samples that are unrelated (example PSYB07 this year and last year) - Variance Sum Law = variance of a sum/difference of 2 independent variables is equal to the sum of their variables - Ho = no difference between last year and this year (ulast – uthis = 0 or ulast = uthis) |
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- Measures how well the data fits expected values of the model/hypothesis |
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how good does the data fit expected value of model/hypothesis - If data deviates from expected values to a large extent, we reject the model/hypothesis - Expected values are generated with the assumption that variables are independent |
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chi square test assumptions |
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- Independent observations - Categories of each variable are mutually exclusive and exhaustive - Sufficient count for each cell o > 5 for each cell |
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o Degree of relationship between 2 measurement data o Linear relationship o More about continuous data o Quantify how strong and the direction of relationship o Line of best fit/regression line |
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- How closely the data clusters around the regression line - Represents strength and direction of linear relationship |
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measure of how much 2 variables vary together - It is a function of the standard deviation of the variables -> r controls for that |
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o not an unbiased estimator o tends to be a little bigger than it should o smaller smaple = greater bias |
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- regression line overestimates sometimes - only can make predictions only in the range of the data given |
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standard error of estimate |
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- data doesn’t fall on line; assuming an error - standard error of estimate: how much data deviates from the regression line - it is like standard deviation, but around regression line (predicted scores) rather than the mean |
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