Week 7 - T-Tests & Chi-square Flashcards

(54 cards)

1
Q

Covariance

A

measure of how much those diffs from one variable occur togther with the diffs of another.

to determining the association between two variables we look for this

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2
Q

Variance

A

meaure of the diffs of your sample measure from from the sample mean

How spread out are the scores in your sample

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3
Q

scatter plot is used?

A

to see the associations/corrolation of two variences

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4
Q

correlation

A

a test for how much two variables co-vary togther on a standardized scale

how related/associated are two varibles

-1 - 0 - +1

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5
Q

Pearson’s Correlation Assumptions

A

planning:
- people’s measurements are independent to others
- the variables are normally distributed (larger sample is good)
After:
- your data do not have outliers or non-linear patters

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6
Q

for what processes are P-values used?

A

Deductive Processes

only exists in quantitative research

D = Theory -> hypothesis -> Data

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7
Q

Hypothese and P-values

A

H0: there is nothing
H1: there is something

p tests the liklyhood of something being diff.

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8
Q

H1: something

A
  • diff between groups
  • association between two variables
  • experimental change
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9
Q

what is the p-value

A

the probability that we would find a diff/ass of that size (or bigger), if there was actually no diff/ass

p is an idicator of a false positive
low = low chance and supports H1
high = high chnace and supports H0

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10
Q

statistically significant

A

.05 =/<
(5%)

= or < .05 means we reject H0

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11
Q

Direction

A

-/+
positive = increase in one v relates to an increase in the other v (/)
negative = increase relates to a decease()

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12
Q

Strength

A

r
0.1 = weak/small
0.3 = moderate
0.5 or > = large/strong

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13
Q

Significance

A

if p-value .05 or < than there is an ass

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14
Q

what does a standard error look like

A

big SE = overlap between means
small SE = no overlap between means

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15
Q

diff between Std./ variance and Standard Error of Mean

A

Std = spread of sample
SEoM = spread of estimate

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16
Q

statistical significance and SE

A

if error bars a far apart = sig

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17
Q

what is an Idenpendent samples t-test?

A

a test of whether the means of two independent groups are diff.

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18
Q

Idenpendent samples t-test variables

A

Categorical
Ordinal or Continuous

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19
Q

Independent samples Student’s t-test Assumptions

A

before:
- each measurement in the sample is independent
- the varibles are normally dist (>30 samples)

after:
- Variances of the two groups are relatively equal

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20
Q

Cohen’s d

A

.2 = small
.5 = Medium
.8 = large

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21
Q

what test for tow means from one sample

A

paired-sample t-test

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22
Q

what test for comparing means from three or more groups

23
Q

what test for one mean from one group compared to a fixed value?

A

One sample t-test

24
Q

Chi-Square

A

a test of the relationship or ass between two categorical varibles

25
Chi-Sqaure Assumptions
before: - idependence - there must be at least **five** measurements in each cell
26
# Types of Data and Tests Continusous diffs between two groups
Independent sample t-test
27
# Types of Data and Tests Relationsip between two continuous variables
correlation
28
# Types of Data and Tests Relationship between categorical variables
Chi-Square test
29
Causation is ONLY estabished when?
with a good experimental design | Not just Correlation
30
why correlation doesnt = causation
- direction of relationship cannot be assumed - third variable causinf relationship - partial relationship - outleirs or subgroups - random chance of relationship
31
language to not infur causation
relate to linked with no evidance of stat relationship
32
what is a chi-squre goodness of fit test testing for?
observed frequency distribution of a nominal variable matches an expected frequency distribution
33
examples of chi-spure test in real world
patients has been undergoing an experimental treatment and have had their health assessed to see whether their condition has improved, stayed the same or worsened.
34
chi-square test hypothosis
H0: all varibles are equal H1: at least on varible is different
35
the chi-square goodness-of-fit test is always a...
one-sided t-test
36
Statistical hypotheses must be two things?
1. Mathematically precise 2. correspond to specific claims about the **characteristics of the data generating mechanism** (i.e., the “population”)
37
legitimate examples of a statistical hypothesis are?
statements about a population parameter and are meaningfully related to my experiment.
38
H0 is true and H0 is retained
correct decison
39
H0 is true and H0 is rejected
error (type I)
40
H0 is fales and H0 is retained
Error (type II)
41
H0 is false and H0 is rejected
correct rejection
42
hypothesis test is said to have significance level Alpha if?
Error Type I
43
hypothesis test is said to have small level Beta if?
Error Type II
44
a powerful test is one that
has a small value of Beta
45
correct retention
1- alpha
46
correct rejection
1- beta
47
what we calculate to guide our choices is a?
test statistic
48
effect size
quantifying how “similar” the true state of the world is to the null hypothesis.
49
sig result and big effect size
difference is real, and of practical importance
50
sig result and small effect size
difference is real, but might not be interesting
51
non-sig results and effect sizes
no effect observed
52
independent samples -test (Student test) Examples
two groups with diffrent mental illnesses or two diff tutroial groups
53
independent samples -test (Student test) hypotheses
H0: data are drawn from populations with the same mean H1: data are drawn from populations with diff means
54
pooled estimate of the variance
a weighted average of the variance estimates