Nonparametric Tests Flashcards

1
Q

Parametric test

A

Knowledge of probability distribution

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2
Q

Nonparametric Test

A
  • distribution free statistics / rank method
  • doesn’t make assumption
  • ranking or categorizing the data
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3
Q

When to use non parametric test

A
  • small sample size
  • not normally distributed, homoscedasticity
  • outliers
  • ordinal scale
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4
Q

Advantages

A

Easy to compute
Doesn’t need requirements of normality and homogeneity
Not affected by outliers

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5
Q

Disadvantage

A

Raw data, ranking

Risk of Type 2 error

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6
Q

1 group

A

One sample median

Chi square of goodness of fit

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7
Q

1 IV with 2 levels (paired)

A

Wilcoxon Signed-Rank
Sign
McNemar

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8
Q

1 IV 2 levels (independent)

A

Mann-Whitney
Median
Chi Square
Fischer’s Exact

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9
Q

1 IV 3 or more levels

A

Kruskal-Wallis
Chi square
Friedman 2-way ANOVA

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10
Q

Relationship between 2 variables

A

Spearman’s correlation

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11
Q

Ranking of data

A

1 assigned to smallest

N - largest

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12
Q

One sample median test

1 group
1 IV with 2 levels (paired)

A

Aka sign test
DV : ordinal
Measure if sample median differ from hypothesized value

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13
Q

Mann-Whitney U test

1 IV 2 levels (independent)

A
aka Willcoxon-Rank Sum Test
NP: independent t-test
n : at least 8
IV : nominal, dichotomous 
DV: OIR
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14
Q

Median Test

1 IV 2 levels (independent)

A

NP: k-sample test
Test equality of median
OI data

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15
Q

Sign Test

1 IV 2 levels (paired)

A

Alternative : paired t-test
(Single group)
- Determine if a population median = particular value
(Paired)
- median difference = 0
Could be used in place of Wilcoxon Signed Rank
- not ordinal, could be merely classified as positive or negative

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16
Q

Wilcoxon Signed Rank Test

1 IV 2 levels (paired)

A
aka Wicoxon Matched-Pairs Signed-Rank Test
NP: paired ttest
compares medians of 2 related groups 
More powerful than Sign test 
- take into account sign + magnitude of 
At least 5
17
Q

Chi Square Test

1 IV 2 levels (independent)
3 or more levels

A

aka Pearson’s Chi Square
Relationship between 2 categorical variables
Analyze difference between observed frequency &; expected frequency

18
Q

Z test

A

Parameter : proportion or percents

Predictor : one or 2 levels

19
Q

Chi- square test

A

Parameter: frequency

Predictor : greater than 2 levels

20
Q

Types of Chi-Square Test

A
  1. Goodness-of-fit
  2. Homogeneity / Independence
  3. Association
21
Q

Chi-Square Goodness of Fit

A

Data FITS distribution

One categorical variable

22
Q

Chi-square Homogeneity/Independence

A

Two/more IV

If diff samples come from populations with the distribution

23
Q

Chi-square Association

A

Relationship or association between 2 QV

Computationally same as test of homogeneity except for E

24
Q

Chi-square Goodness of fit

A

Observed set data is distributed as expected

Sample distribution is representative of the population

25
Q

Chi-square Goodness of Fit for a Normal Distribution

A

Sample : normally distributed

Sample set : greater than or equal to 50

26
Q

Chi-square goodness of fit Binomial Distribution

A

If data comes from binomial distribution

27
Q

Chi-square test of Homogeneity/independence

A

If categorical values are independent of each other

Whether or not 2/more populations have the same proportions for diff categories of a variable

28
Q

Fischer’s Exact

1 IV 2 levels (independent)

A

aka Fisher four Fold Test
- 4 cells of frequency dat
Compare 2 independent binomial proportions
EXACT : involve calculation of exact probabilities
abcd cell format
Used if chi square of independence is reduced to an2x2 contingency able

29
Q

McNemar’s Test

1 IV 2 levels (independent)

A

Relationship/independence paired NOMINAL variables
When assumption in chi square and Fischer’s exact test is not met
Dichotomous that are paired
2x2 contingency table
B and C primary interest