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Psychology Statistics 2nd midterm
lecture 5
34
Other
Undergraduate 2
05/16/2009

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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).
Definition
the science of describing distributions of samples or populations
Term
inferential statistics
Definition
the science of using sample statistics to make inferences or decisions about population parameters
Term
How do we show a statement is most likely false? (5 steps)
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
Term
what are the two possible outcomes to see if a statement is most likely false?
Definition
1. reject null hypothesis
2. fail to reject null
Term
What does it show if we reject our null?
Definition
we have shown evidence that it is likely to be untrue
Term
How likely is it that we are wrong when we reject our null?
Definition
The size of the rejection region - alpha
Term
if null is true in reality..
Probability of error, and no error
Definition
Error = alpha
no error = 1 - alpha
Term
if null is not true, error if we fail to reject, and correct if we reject
Definition
probability error = beta
probability correct = 1 - beta
Term
beta is much harder to calculate than α because it depends on how distributions overlap which is affected by...
Definition
effect size
sample size
stand dev
alpha
tails of test
Term
two tail - non directional
Definition
no prior evidence
H0: u=a
H1: u NOT =a
Term
one tail (right)
Definition
prior evidence u>. a
H0: u lessthen/= a
H1: mu greatr than a
Term
one tail left
Definition
prior evidence u less than a
Ho: u greater than or = to a
H1: u less than a
Term
What happens in TYPE 1 errors?
Definition
Other researchers use this false result as information, Fail to replicate, Waste time
Term
What happens in Type II error?
Definition
No research report is created, Not much loss to the scientific community, Loss to researcher, Other researchers can still find the effect
Term
type I error?
-occurs with what probability
Definition
When you reject your null and in reality it is true
-occurs with probability of alpha
Term
type II error?
-occurs with what probability
Definition
When you accept/fail to reject your null, and in reality it is false
-occurs with probability of beta
Term
When do you reject your null?
Definition
if the probability of the sample result is <= to alpha (significance) level
Term
When do you accept your null?
Definition
if probability of sample result is above alpha
Term
hypothesis testing calculates
Definition
the probability that the differences are due to random variability (i.e., the first option or the Null Hypothesis)
Term
type I error
Definition
a small probability that the null hypothesis will be rejected when random variability is the cause of the differences in the conditions
Term
error factors of alpha
Definition
set by the experimenter
Term
error factors of beta
Definition
alpha, effect size, sample size, std dev, tails of test
Term
comparison distributions are used..
Definition
are used to compute the probability of the obtained sample result under the assumption that the null hypothesis is true
Term
when are scores related? (dependent)
Definition
-when same person is on both conditions
-when scores are matched on a meaningful variable (steroids and weightlifters, GPA and SAT scores)
Term
obstacles to using dependent
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)
Term
why are dependent tests preferred?
Definition
preferred because they are better at detecting differences due to a reduction in variability
Term
when are independent tests used?
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
Term
why are dependent tests more powerful than independent
Definition
because they eliminate the variability between the pairs of scores
Term
why are power calculations used?
Definition
used to find the probability that your experiment will detect an effect (or difference) in the world, if it exists
Term
power
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
Term
3 important factors in determining area of power
Definition
-where the critical value is
-how far the distributions are away from each other
-how skinny the distributions are
Term
effect size is determined by
Definition
the distance between the two distributions
Term
the critical value is effected by
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).
Term
the width of the mean distributions is affected by
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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