Research Methods - Non Parametric Tests Flashcards

To learn the steps and criteria for Chi Squared, Mann Whitney U, Sign Test, Wilcoxon and Spearman

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1
Q

What is nominal data?

A

“name labels”

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2
Q

What is ordinal data?

A

“order values”

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3
Q

What is interval data?

A

No true 0, but equal intervals

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4
Q

Give two examples of nominal data:

A
  1. What is your gender? (Male/Female)

2. What colour is your hair? (Black/Brown/Blonde/Gray)

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5
Q

Give two examples of ordinal data:

A
  1. How do you feel today? (1=Very Un-happy 2=Unhappy 3=OK 4=Happy 5=Very Happy)
  2. How often do you eat breakfast? (0=Never 1=Rarely 2=Occasionally 3=Sometimes 4=Often etc.)
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6
Q

Give two examples of interval data:

A
  1. Celsius temperature

2. Ruler (cm)/(m)

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7
Q

What is independent measures design?

A

One group of ppts take part in one condition of an experiment

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8
Q

What is repeated measures design?

A

One group of ppts take part in both or all conditions of an experiment.

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9
Q

What is the criteria for Chi Squared?

A

Nominal data, IMD

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10
Q

What is the criteria for Mann Whitney U?

A

Ordinal data, IMD

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11
Q

What is the criteria for Wilcoxon?

A

Ordinal data, RMD

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12
Q

What is the criteria for Sign Test?

A

Nominal data, RMD

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13
Q

What is the criteria for Spear-man’s Rank?

A

2 sets of ordinal data, Correlation

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14
Q

Which tests involve ranking?

A
  1. Mann Whitney U
  2. Wilcoxon
  3. Spear-mans rank
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15
Q

How is the data ranked in Mann Whitney U?

A

You rank all the data from condition 1 and condition 2

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16
Q

How is the data ranked in Wilcoxon?

A

You rank the data of the differences between condition 1 and condition 2, ignoring 0 or minus signs

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17
Q

How is the data ranked in Spear-mans rank?

A

The data is ranked separately from variable 1 and variable 2

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18
Q

Which tests do not involve ranking?

A
  1. Chi Squared

2. Sign Test

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19
Q

In which tests does the observed value have to be larger than the critical value?

A

“first and last”

  1. Chi-squared
  2. Spear-man’s rank
20
Q

Using Mann Whitney U, what is the next step after ranking the data?

A

You add up the (sum of the ranks) from condition 1 and condition 2

21
Q

Using Mann Whitney U, what is the next step after you add up the sum of the ranks?

A

You use the smallest sum of (r1 or r2)

22
Q

How do you find the calculated/observed value using Mann Whitney U?

A

Use the smallest sum of (r1 or r2) using the equation:
(n1+1)
U1 = n1n2 + ———– - E R1
2

                 (n2+1) U2 = n1n2 + ---------- - E R2
                     2
23
Q

How do you find the critical value using Mann Whitney U?

A

You use the number of ppts

24
Q

In Mann Whitney U, which value must be higher in order for it to be significant?

A

Critical value

25
Q

What is the first step in Wilcoxon?

A

Find the difference for each ppt from condition 1 and condition 2

26
Q

How do you find the calculated/observed value using Wilcoxon?

A

You add up the ranks of the least frequent sign (+/-)

27
Q

How do you find the critical value using Wilcoxon?

A

Use the number of differences, ignoring 0

28
Q

In Wilcoxon, which value must be higher in order for it to be significant?

A

Critical value

29
Q

What is the first step of Chi Squared?

A

Work out the row total, column total and overall total

30
Q

In Chi Squared, after you have worked out the overall total, what is the next step?

A

Work out the expected frequency for each cell

31
Q

How do you work out the expected frequency in Chi Squared?

A

expected frequency = row total x column total
———————————-
overall total

32
Q

In Chi Squared, after you have worked out the expected frequency, what is the next step?

A

You work out the observed value for each cell

33
Q

How do you work out the observed value in Chi Squared?

A

Observed value = (observed - expected) 2
———————————-
expected

34
Q

How do you find the calcluated/observed value in Chi Squared?

A

You add up the observed value for each cell to get the overall observed value

35
Q

How do you find the critical value in Chi Squared?

A

You use degrees of freedom

36
Q

What is the equation for degrees of freedom?

A

df = (number of rows-1) (number of columns-1)

37
Q

In Chi Squared, which value must be higher in order for it to be significant?

A

The observed value

38
Q

What is the first step in Sign test?

A

Establish whether you are using one-tailed or two-tailed hypothesis and add a column to show the flow of direction (-/+) and ignore no changes

39
Q

How do you find the calculated/observed value in Sign test?

A

You add up the least frequent sign (+/-)

40
Q

How do you find the critical value in Sign test?

A

You use the number of ppts

41
Q

In Sign test, which value must be higher in order for it to be significant?

A

The critical value

42
Q

After you have ranked data in Spear-man’s rank, what is the next step?

A

You find the differences between the ranks for each ppt

43
Q

What is the third step in Spear-man’s rank?

A

You square the differences for each ppts

44
Q

How do you find the calculated/observed value?

A

You add up the sum of the squared differences and use it in the equation:

         6 x sum of d2 rho = 1 - ------------------
                n2-n
45
Q

How would you find the critical value using Spear-man’s rank?

A

Use the number of ppts

46
Q

In Spear-man’s rank, which value must be higher in order for it to be significant?

A

The observed value