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Psych Stats
Exam 2- Martichuski
26
Psychology
Not Applicable
10/06/2011

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Term
Define: Sampling Distribution of Means
CENTRAL LIMITS THEOREM
Definition
-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
Term
As N increases...
Definition
Std error decreases
Term
Define: Frequency Distribution
Definition
- x= individual score
- mean = mu
- std dev = sigma
- determines = prob of ind. score
- based on = actual data
Term
Define: Sampling Distribution
Definition
m = group/sample score
mean = mu sub m
std dev = sigma sub m
determines = prob of groups/samples
based on = theoretical data and CLT
Term
Define: Test Statistics
Definition
1. type of hypothesis
2. levels of measurement of data
3. #/types of variables
4. levels of the independent variable
Term
Type I Error
Definition
When we REJECT a TRUE null hypothesis
- REJECT when TRUE is NOT type II-
probability = alpha
Term
Type II error
Definition
FAILURE to REJECT a FALSE null hypothesis
probability = 1-beta
Term
Define: Level of Significance (alpha)
Definition
- probability of type I error
- prob of rejecting a true null
- generally .05 or .01
Term
Define: Type II Error (BETA)
Definition
- failure to reject null when it is false
- prob of failing to reject false
- beta related to power
- power = 1-beta
Term
PROCEDURE TO TEST NULL
Definition
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)
Term
Define: Critical Value
Definition
Cut off point beyond which we reject the null hypothesis
Term
Finding MCV
Definition
(z)(sigma sub m) + (mu)
Term
Zobs
Definition
(M - mu)/ sigma sub m
Term
Reject null when...
Definition
zobv is GREATER than Zcv
Term
Fail to reject null when...
Definition
Zobs is LESS THAN Zcv
Term
Z-test assumptions
Definition
- random sampling
- independent observation
- value of sigma is unchanged by treatment
- normal sample
Term
Effect size interpretations
Definition
d=.02 = small effect
d=.05 = medium effect
d=.08 = large effect
Term
Define: Power
Definition
Probability of correctly rejecting null
Term
How to increasing power
Definition
1. increase "n"
2. increase effect size
3. increase alpha
4. change from two- to one-tailed test
Term
Steps for Power
Definition
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.
Term
New Z..
Definition
M - mu / sigma
Term
Tobs
Definition
M - mu / std dev. sub m
Term
Find: Std.dev-sub-m
Definition
std dev/(sqrt. n)
Term
Assumptions about T-Test
Definition
- random sampling
- ind. observation
- normal sample
Term
% variance explained
Definition
rsquared = (tobs-squared)/
(tobssquared) + df
Term
Define: % variance explained
Definition
Variance in DV explained by IV
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