Week 1: The Descriptive Stats of Outcomes - How is the Data Distributed and How can we Assess the Distribution Flashcards

1
Q

*

What distribution is needed for parametric tests?

A

A normal distribution

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2
Q

The normal distribution curve is also referred as the

A

bell curve

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3
Q

Normal distribution is symmetrical meaning

A

This means that the distribution curve can be divided in the middle to produce two equal halves

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4
Q

The bell curve can be described using two parameters called (2)

A
  1. Mean (central tendency)
  2. Standard deviation (dispersion)
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5
Q

μ is

A

mean

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6
Q

σ is

A

standard deviation

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7
Q

Diagram shows:

A

e.g., If we move 1σ to the right then it contains 34.1% of the valeues

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8
Q

Many statistical tests (parametric) cannot be used if the data are not

A

normally distributed

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9
Q

The mean is the sum of

A

scores divided by the number of scores

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10
Q

Mean is a good measure of

A

central tendency for roughly symmetric distributions

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11
Q

The mean can be a misleading measure of central tendency in skewed distributions as

A

it can be greatly influenced by scores in tail e.g., extreme values

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12
Q

Aside from the mean, what are the 2 other measured of central tendency? - (2)

A
  1. Median
  2. Mode
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13
Q

The median is where (2)

A

the middle score when scores are ordered.

the middle of a distribution: half the scores are above the median and half are below the median.

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14
Q

The median is relatively unaffected by … and can be used with… (2)

A
  • extreme scores or skewed distribution
  • can be used with ordinal, interval and ratio data.
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15
Q

The mode is the most

A

frequently occurring score in a distribution, a score that actually occurred

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16
Q

The mode is the only measure of central tendency that can be used with

A

with nominal data

17
Q

The mode is greatly subject to

A

sample fluctuations and is therefore not recommended to be used as the only measure of central tendency

18
Q

Many distributions have more than one

19
Q

The mean, median and mode are identical in

A

symmetric distribtions

20
Q

For positive skewed distribution, the

A

mean is greater than the median, which is greater than the mode

21
Q

For negative skewed distribution

A

usually the mode is greater than the median, which is greater than the mean

22
Q

Kurtosis in greek means

A

bulge or bend in greek

23
Q

What is central tendency?

A

the tendency for the values of a random variable to cluster round its mean, mode, or median.

24
Q

Diagram of normal kurotsis, positive excess kurotsis (leptokurtic) and negative excess kurotsis (platykurtic)

25
What does lepto mean?
prefix meaning thin
26
What is platy
a prefix meaning flat or wide (think Plateau)
27
Tests of normality (2)
Kolmogorov-Smirnov test Shapiro-Wilks test
28
Tests of normality is dependent on
sample size
29
If you got a massive sample size then you will find these normality tests often come out as .... even when your data visually can look - (2)
significant normally disttibuted
30
If you got a small sample size, then the normality tests may look non-siginificant, even when data is normally distributed, due to
lack of power in the test to detect a significant effect
31
There is no hard or fast rule for
determining whether data is normally distributed or not
32
Plot your data because this helps inform on what decisions you want to make with respect to
normality
33
Even if normality test is sig and data looks visually normally distributed then still do
parametric tests
34
A frequency distribution or a histogram is a plot of how many times
each score occurs
35
2 main ways a distribution can deviate from the normal - (2)
1. Lack of symmetry (called skew) 2. Pointyness (called kurotsis)
36
In a normal distribution the values of skew and kurtosis are 0 meaning...
tails of the distribution are as they should be