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Define: Sampling Distribution of Means CENTRAL LIMITS THEOREM |
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-Mean is called "means of means" (m sub m) -Std. dev = std error of the mean (sigma sub m)/(sq.rt of n) - is normal if parent pop is normal - as 'n' decreases, std err decreases |
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Define: Frequency Distribution |
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- x= individual score - mean = mu - std dev = sigma - determines = prob of ind. score - based on = actual data |
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Define: Sampling Distribution |
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m = group/sample score mean = mu sub m std dev = sigma sub m determines = prob of groups/samples based on = theoretical data and CLT |
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1. type of hypothesis 2. levels of measurement of data 3. #/types of variables 4. levels of the independent variable |
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When we REJECT a TRUE null hypothesis - REJECT when TRUE is NOT type II- probability = alpha |
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FAILURE to REJECT a FALSE null hypothesis probability = 1-beta |
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Define: Level of Significance (alpha) |
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- probability of type I error - prob of rejecting a true null - generally .05 or .01 |
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Define: Type II Error (BETA) |
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- failure to reject null when it is false - prob of failing to reject false - beta related to power - power = 1-beta |
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1. State null and alternative hypothesis 2. Set criteria to reject the null - alpha level - zobs - direction (one or two-tailed) 3. collect data and compute test stats 4. make conclusion about null and draw conclusion (five o'clock news summary) |
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Cut off point beyond which we reject the null hypothesis |
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Fail to reject null when... |
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- random sampling - independent observation - value of sigma is unchanged by treatment - normal sample |
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Effect size interpretations |
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d=.02 = small effect d=.05 = medium effect d=.08 = large effect |
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Probability of correctly rejecting null |
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1. increase "n" 2. increase effect size 3. increase alpha 4. change from two- to one-tailed test |
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1. Draw the null true SDoM graph using sigma-sub-m, and zcv to find mcv. Shade 2. Draw the null false SDoM grpah on top of first graph. Shade power. 3. Find new z. 4. Look up new z to find power. |
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- random sampling - ind. observation - normal sample |
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rsquared = (tobs-squared)/ (tobssquared) + df |
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Define: % variance explained |
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Variance in DV explained by IV |
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