Chapter 3 Flashcards

Descriptive statistics and the Normal distribution

1
Q

Descriptive statistics

A

provide you with mathematical summaries of performance and performance characteristics

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2
Q

Taxonomy of measurements

A

lowest - nominal
highest - ratio

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3
Q

Nominal

A

a nominal scale is categorical in nature
- football positions
- gander
- type of car

There is no notion of order, magnitude, or size. Everyone within the group is assumed to have the same degree of the trait that determines their group.

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4
Q

Ordinal

A
  • ranking, as the finishing place in a race.
  • things are ranked in order, but the difference between ranked positions are not comparable.
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5
Q

Continuous

  • interval
  • ratio
A

numbers are said to be continuous in nature if they can be added, subtracted, multiplied, or divided and THE RESULTS HAVE MEANING.

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6
Q

Interval numbers

A
  • temperature or IQ
  • a value of zero simply represents a point on a number line. It doesn’t mean that something doesn’t exist
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7
Q

Ratio numbers

A
  • have an absolute (true) zero
  • weight or time
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8
Q

Only INTERVAL AND RATIO numbers can be subjected to mathematical operations

A

True

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9
Q

N

A

number of cases

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10
Q

X (like x1 or x2)

A

any observed variable that you might measure

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11
Q

the capital Greek letter sigma

A

the sum of

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12
Q

Frequency distribution

A

a method of organizing data that involves noting the frequency with which various scores occurs

  • norm-referenced comparison
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13
Q

Percentile

A

is obtained by summing the present of scores that fall at or below the percentile you are calculating

  • a percentile represents the present of observations at or below a given score

Example: if you achieved at the 90th percentile (P90), this simply means that your grade is higher than 90% of the people were tested.

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14
Q

Central tendency

A

its where the scores tend to center

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15
Q

Measures of central tendency

A
  • mean
  • median
  • mode
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16
Q

Mean

A

the arithmetical average, the sum of the scores divided by the number of scores

  • the most stable one
17
Q

Median

A
  • the middle score/ 50th percentile
  • the most typical score in the distribution
18
Q

Mode

A
  • the most frequent observed score
  • the most unstable measure of central tendency
  • but the most easily obtained one
19
Q

Skewness

A

the statistical term for the shape of a distribution

20
Q

Positive skewness

A

distribution has a tail toward the positive end (RIGHT) of the number line

21
Q

Negative skewness

A

distribution has a tail toward the negative end (LEFT) of the number line

22
Q

Kurtosis

A

the peakedness of a curve

23
Q

Mesokurtic

A

the normal curve (an average amount)

24
Q

Platykurtic

A
  • the flatter curve
  • has a negative kurtosis value
25
Q

Leptokurtic

A
  • the steep curve (peaked)
  • has a positive kurtosis value
26
Q

Variability

A

the spread of a distribution of scores

Measures of variability:
- range
- variance
- standard deviation

27
Q

Range

A

the high score - the low score
THE LEAST STABLE MEASURE OF VARIABILITY

28
Q

Variance (S2)

A

a measure of the spread of a set of scores based on the squared deviation of each score from the mean
THE MOST STABLE MEASURE OF VARIABILITY