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48 Cards in this Set
- Front
- Back
Descriptive Statistics
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method for organizing and describing experimental data
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Inferential Statistics
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method for making decisions about the significance of experimental results. were the results caused by the IV or just by chance
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cumf
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the cumulative frequency. the number of scores at or below any given score
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cumprop
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the proportion of scores at or below any given score ( take the cumf and divide by the total number of scores)
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%ile
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percentage of scores at or below any given score
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x
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the data (scores) arranged from lowest to highest
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f
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the frequency with which each score occurs in the data
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mean
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mathematical average of a group of scores, the sum of the scores divided by the number of scores
(most vulnerable to extreme scores) |
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median
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the middle score, at the 50%ile where 1/2 the scores are above and 1/2 the scores are below(best used for skewed distributions)
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range
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the simplist measure. the difference between the highest and lowest scores in the distribution
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Deviation
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the difference between a given score and the mean of the distribution D=x - xbar
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Variance
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the square of a scores deviation from the mean d2=variance.
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standard deviation
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the avergae deviation of all scores from the mean
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calculating standard dev.
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1. find mean of distributon
2. create freq. dist. chart -x(score) -f(freq.) -d(deviation, the score-mean) -d2(variance, deviation squared) -fd2(variance * freq) 1 add up all the numbers in fd2 2 divide dum of fd2 by N 3 take square root of result |
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Normal frequency distribution
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symmetrical all around
mean=median=mode |
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Non-Normal
(Skewed Curves) |
skewed to right or left. either few extremly high scores or a few extremly low scores
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Non-Normal
(Ogive Curve) |
s-shaped curve. either all high scores or all low scores.
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Non-Normal
(Bimodal Curve) |
m-shaped. has two modes.
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Non-Normal
(U-shaped Curve) |
U-shaped. extreme scores on both ends.
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Normal
(Leptokurtic Curve) |
small standard dev. (scores all bunched up around mean)
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Normal
(Platykurtic) |
large standard deviation (scores very spread out)
((very LOOOOONG) |
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Normal
(Mesokurtic) |
classic shape. Standard normal curve.
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xbar
+1, +2, +3 numbers |
50%tile
34.13% 13.59% 2.15% .14% |
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percentiles can also be seen as...((13.59%))
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probabilities ((P=.1359))
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z-score defintion
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allows us to determine the exact distance of any given score from mean (in standard deviations). All you need is the mean and stand. dev.
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z-score formula
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z= (x-xbar)/ standard dev.
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example of z-score
IQs=140 xbar= 200 SD=30 IQmj=60 xbar=30 SD=10 |
s=-2
mj=+3 |
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correlation
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refers to the type and the strength of the relationship between two variables. Correlation data does not indicate a cause and effect relationship.
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correlation coefficient
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Pearson's r
+1=perfect/direct + rel.(Aup B up) 0.00=no relationship -1=perfect/indei2rec/inverse/- relationship (Aup B down) |
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Logic of inferential statistics
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to decide if the difference between the experimental group mean and the control group mean was caused by the IV or just chance
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Null Hypothesis (Ho)
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Nearly always define the Ho as follows "the difference between the xbar"e" and the xbar"c" is caused due to chance" (Assumption/Theory)
(skepticism) |
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Ho is correct
Fail to reject the Ho |
assert difference is due to chance
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Ho is incorrect
Reject the Ho |
assert difference is caused by IV
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alpha level
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the probability of an event occuring by chance at which one is willing to reject the Ho
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alpha=.01
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p=1 of 100 times (by chance)
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alpha=.05
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p= 5 of 100 times (by chance)
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if Xbar"e" < alpha...
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reject Ho
caused by IV |
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if xbar"e" > alpha...
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fail to reject the Ho
caused by chance |
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diff between descriptive/inferential
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make decisions with inferential andnot with descriptive. describe with descriptive
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if r=+1.00 and variable A is decreasing what is happening to variable b
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also decreasing
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mean is 10. sd is 2. what is score at z=+2
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14
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cumulative freq.
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number of scores @ or below or @ and above
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type 1 error
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increases as alpha increases=rejecting the ho when it is true=stating IV caused the result when it was really due to chance
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type 2 error
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increases as alpha gets smaller=failing to reject t he Ho when it is really false=stating the result was due to chance when was due to IV
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ANOVA
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stat. use for multiple IV's
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students t
(t-test) |
used when control group represents the entire pop.
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omega-squared
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correlation between IV and DV= helps detect interactions between variables
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chi-squared
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compares observed outcomes(data) with expected outcomes (Ho)
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