Choosing Statistical Test 2 Flashcards

1
Q

What is one sample t test used for?

A

To compare mean of single sample with known population mean to check if sample is derived from the population

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2
Q

What does one sample t test need?

A

Observed sample mean

Hypothesised derived population mean

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3
Q

What is needed for one sample t test?

A

Variable must be normally distributed

Sample size must be adequate to prevent extreme skewness

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4
Q

What is two sample t test also known as?

A

Students t

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5
Q

What is two sample t test used for?

A

To compare means of two samples

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6
Q

What does two sample t test need?

A

Two variables - one independent variable which can be nominal and a dependent variable which is quantitative

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7
Q

What does unpaired t test compare?

A

Independent samples where observation is made only once in each individual in a sample

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8
Q

What is compared in a paired t test?

A

Sample means are compared in same group

Here each subject is observed twice and scores are compared for statistical significance

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9
Q

What does t test assume?

A

Equal variance among two groups

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10
Q

What can be used to test variance between two groups?

A

Levenes test

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11
Q

What is ANOVA used for?

A

To compare means of multiple groups

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12
Q

What is ANOVA based on?

A

Variance comparisons

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13
Q

What is one-way ANOVA?

A

If one independent variable is compared across more than 2 groups

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14
Q

What happens in 2 way ANOVA?

A

2 independent variables are analyzed in multiple groups

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15
Q

When is repeated measures ANOVA used?

A

When same measures are used on multiple occassions

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16
Q

How is ANOVA calculated?

A

Using ratio of variation between groups to variation within groups

17
Q

What is the name of the type of calculation used in ANOVA?

A

F statistics

18
Q

Disadvantages of ANOVA

A

It can only tell us if a significant difference exists among groups; it does not tell us where the difference comes from

19
Q

Why are post hoc significance tests used after ANOVA?

A

ANOVA cannot tell us where the difference came from

20
Q

Assumptions made if ANOVA is used

A

Normal distribution of observations in groups
Equal variance among tested groups
Independent observations - not paired except for repeated measures test

21
Q

Recommended test if >2 groups, 1 independent variable and testing between subjects

A

One way ANOVA

22
Q

Recommended test if >2 groups, 1 independent variable and testing within subjects

A

Repeated measure ANOVA

23
Q

Recommended test if >2 groups, >1 independent variable testing between subjects

A

Factorial ANOVA

24
Q

Recommended test if >2 groups, >1 independent variable and testing within subjects

25
What is degrees of freedom (df)?
When we calculate an estimate of one statistic from an estimate of another
26
What happens to degree of freedom if applied to regression or ANOVA?
We lose one degree of freedom for each parameter estimate carried out before estimating the standard deviation
27
Degree of freedom for chi square if rows and columns marginal totals are specified
1
28
Degree of freedom if chi square distribution where proportions are estimated
(number of rows - 1) x (number of columns - 1)
29
What is the degree of freedom in a t test?
Sum of the persons in both groups minus 2
30
Degree of freedom in sample mean
n (sample size)
31
Df in population SD estimated from sample
n-1
32
Df in two sample t test
(n1 + n2) - 2
33
Df in chi square
(Rows - 1) x (columns - 1)
34
Df in one sample t
N - 1
35
Df in one way ANOVA: total variance
Total N - 1
36
Df in one way ANOVA within groups
Total N - number of groups
37
Df in one way ANOVA between groups
Number of groups - 1