Averages and measures of spread Flashcards

1
Q

median equation

A

(n+1) /2

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2
Q

normal distribution

A

mean and median approximately equal

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3
Q

positive skew

A

mean greater than median (peaks to the left)

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4
Q

negative skew

A

mean less than median (peaks to the right)

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5
Q

what to use for ordinal categorical or continuous variables

A

mean or median

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6
Q

what to use for categorical nominal variables

A

no sense to use median or means

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7
Q

what’s a factor

A

when there’s 2 category variables

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8
Q

how to know what analysis to use

A

if both are categorical use a contingency table
if group and continuous compare means/medians

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9
Q

percentile

A

value at or below which a specified percentage of the scores in the distribution fall
eg 60th %tile = 60% of observations lie at or below and 40% at or above

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10
Q

percentile calculation

A

value of percentile = (percentile/100) x (n+1)th

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11
Q

25th percentile

A

lower quartile

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12
Q

50th percentile

A

median

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13
Q

75th percentile

A

upper quartile

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14
Q

lowest quintile

A

lowest 20%

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15
Q

highest quintile

A

highest 20%

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16
Q

lowest decile

A

lowest 10%

17
Q

highest decile

A

highest 10%

18
Q

lowest tertile

A

bottom third

19
Q

highest tertile

A

top third

20
Q

measures of spread

A

range
interquartile range
standard deviation
variance

21
Q

interquartile range

A

diff between upper and lower quartile

22
Q

variance equation

A

sd squared

23
Q

lower fence equation

A

LQ - (1.5xIQR)

24
Q

upper fence equation

A

UQ + (1.5xIQR)

25
Q

residual

A

difference between a particular observation and mean

26
Q

standard deviation in relation to residual

A

square root of sum of squared residuals or in statistical jargon

27
Q

sd equation

A

square root of
sum of (y-mean)2
/
n-1