Variability Flashcards

1
Q

It provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out or clustered together.

A

Variability

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2
Q

3 Measures of Variability

A
  1. Variance
  2. Range
  3. Standard Deviation
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3
Q

The first step toward defining ad measuring variability which is the distance covered by the scores in a distribution.

A

Range

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4
Q

The distance from the mean.

A

Deviation

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5
Q

2 parts of Deviation score

A
  1. Sign
  2. Number
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6
Q

It tells the direction from the means–that is, whether the score is located above or below the mean.

A

Sign

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7
Q

It gives the actual distance from the mean.

A

Number

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8
Q

It equals of the squared deviations and it is the average distance from the mean.

A

Variance

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9
Q

It is the square root of the variance and provides a measure of the standard, or average distance from the mean.

A

Standard Deviation

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10
Q

It is the sum of the squared deviation scores.

A

Sum of Squares (SS)

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11
Q

2 formulas of SS

A
  1. Definitional Formula
  2. Computational Formula
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12
Q

The first of SS’ formula where the symbols literally define the process of adding up the squared deviations.

A

Definitional Formula

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13
Q

An alternative formula that has been developed for computing SS where it performs calculations with the scores and therefore minimizes the complications of decimals and fractions.

A

Computational Formula

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14
Q

It is represented by the symbol σ2 and equals the mean squared distance from the mean and is obtained by dividing the sum of squares by N.

A

Population Variance

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15
Q

It is represented by the symbol σ2 and equals the square root of the population variance.

A

Population Standard Deviation

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16
Q

It is represented by the symbol s2 and equals the mean squared distance from the mean and is obtained by dividing the sum of squares by n-1.

A

Sample Variance

17
Q

It is represented by the symbol s and equal the square root of the sample variance.

A

Sample Standard Deviation

18
Q

It is often called sample variance.

A

Estimated Population Variance

19
Q

It is often called as sample standard deviation.

A

Estimated Population Standard Deviation

20
Q

It determines the number of scores in the sample that are independent and free to vary.

A

Degrees of Freedom (df)

21
Q

The classification of sample statistic if the average value of the statistic if equal to the population parameter.

A

Unbiased

22
Q

A classification of sample statistic if the average value of the statistic either underestimates or overestimates the corresponding population parameter.

A

Biased

23
Q

This term is used to indicate that the sample variance represents unexplained and uncontrolled differences between scores.

A

Error Variance

24
Q

3 situations to use Range

A
  1. Sample sizes are similar
  2. Small data sets
  3. Skewed Distributions
25
Q

Formula of Deviation score

A

X - M

26
Q

Formula of Definitional Formula

A

SS= Σ(X - M)2

27
Q

Formula of Computational Formula

A

SS= ΣX2 - (ΣX)2/N

28
Q

Formula of Population Variance

A

o2 = SS/N

29
Q

Formula of Population Standard Deviation

A

o = √SS/N

30
Q

Formula of Sample Variance

A

s2 = SS/n - 1

31
Q

Formula of Sample Standard Deviation

A

s = √s2