Term
descriptive statisticsalpha and the number of tails. If alpha = .05 and we are using a two-tailed test, then the critical value is 1.96 (from the Z tables). |
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Definition
the science of describing distributions of samples or populations |
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Term
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Definition
the science of using sample statistics to make inferences or decisions about population parameters |
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Term
How do we show a statement is most likely false? (5 steps) |
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Definition
1. Create a statement (null hypothesis) 2. Create a distribution of outcomes given that hypothesis 3. Determine outcomes we consider unlikely 4. Evaluate if our experimental result is one of those unlikely outcomes 5. two possible outcomes |
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Term
what are the two possible outcomes to see if a statement is most likely false? |
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Definition
1. reject null hypothesis 2. fail to reject null |
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Term
What does it show if we reject our null? |
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Definition
we have shown evidence that it is likely to be untrue |
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Term
How likely is it that we are wrong when we reject our null? |
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Definition
The size of the rejection region - alpha |
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Term
if null is true in reality.. Probability of error, and no error |
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Definition
Error = alpha no error = 1 - alpha |
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if null is not true, error if we fail to reject, and correct if we reject |
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Definition
probability error = beta probability correct = 1 - beta |
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beta is much harder to calculate than α because it depends on how distributions overlap which is affected by... |
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Definition
effect size sample size stand dev alpha tails of test |
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two tail - non directional |
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Definition
no prior evidence H0: u=a H1: u NOT =a |
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Definition
prior evidence u>. a H0: u lessthen/= a H1: mu greatr than a |
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Term
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Definition
prior evidence u less than a Ho: u greater than or = to a H1: u less than a |
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Term
What happens in TYPE 1 errors? |
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Definition
Other researchers use this false result as information, Fail to replicate, Waste time |
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Term
What happens in Type II error? |
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Definition
No research report is created, Not much loss to the scientific community, Loss to researcher, Other researchers can still find the effect |
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Term
type I error? -occurs with what probability |
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Definition
When you reject your null and in reality it is true -occurs with probability of alpha |
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type II error? -occurs with what probability |
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Definition
When you accept/fail to reject your null, and in reality it is false -occurs with probability of beta |
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When do you reject your null? |
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Definition
if the probability of the sample result is <= to alpha (significance) level |
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When do you accept your null? |
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Definition
if probability of sample result is above alpha |
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Term
hypothesis testing calculates |
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Definition
the probability that the differences are due to random variability (i.e., the first option or the Null Hypothesis) |
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Term
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Definition
a small probability that the null hypothesis will be rejected when random variability is the cause of the differences in the conditions |
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Definition
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alpha, effect size, sample size, std dev, tails of test |
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comparison distributions are used.. |
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Definition
are used to compute the probability of the obtained sample result under the assumption that the null hypothesis is true |
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Term
when are scores related? (dependent) |
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Definition
-when same person is on both conditions -when scores are matched on a meaningful variable (steroids and weightlifters, GPA and SAT scores) |
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obstacles to using dependent |
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Definition
-if impossible to participate in both conditions (normal vs parkinsons, men vs women) -if participation in one condition affects other conditions (conjunction fallacy, solving a reasoning problem) |
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Term
why are dependent tests preferred? |
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Definition
preferred because they are better at detecting differences due to a reduction in variability |
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when are independent tests used? |
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Definition
-when the subjects in one group are not related to the subjects in the other group -when there is a possibility that participating in one condition can affect the measurement of the other condition |
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why are dependent tests more powerful than independent |
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Definition
because they eliminate the variability between the pairs of scores |
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Term
why are power calculations used? |
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Definition
used to find the probability that your experiment will detect an effect (or difference) in the world, if it exists |
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Definition
he probability of selecting a mean from Mean Distribution 2 and having that mean be above the critical value for distinguishing it from Mean Distribution 1 |
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3 important factors in determining area of power |
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Definition
-where the critical value is -how far the distributions are away from each other -how skinny the distributions are |
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effect size is determined by |
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Definition
the distance between the two distributions |
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Term
the critical value is effected by |
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Definition
alpha and the number of tails. If alpha=.05 and we are using a two-tailed test, then the critical value is 1.96 (from the Z tables). |
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Term
the width of the mean distributions is affected by |
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Definition
the standard deviation of the score distribution and the sample size which determines how much skinnier the mean distribution is than the score distribution |
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