C
O
D
E
except matched pairs
MSTM5060 - Inference Flowchart
Three or More
One Factor with Matching or Blocking
R
S
T
P
G
H
J
K
L
M
Counts or proportions
χ
2
Test of a Contingency Table
A
B
C
D
E
F
Two Factors
Two Factor ANOVA
Block Design ANOVA
What aspect is being compared?
Means
Independent Samples
One Factor
Single Factor ANOVA
Variance or Standard Deviation
Hypothesis Test
F-Test of a Ratio of Variances (σ
1
2
/σ
2
2
)
Two or More
Counts or Proportions
Number of Categories
Two (Success and Failure)
z-test of Difference of Proportions (p
1
- p
2
)
Three or More Categories
χ
2
Test of a Contingency Table
Matched Pairs
Estimation or Hypothesis Test
Estimation
t-Interval Estimate (CI) of a Mean Difference (μ
D
)
Hypothesis Test
t-test of a Mean Difference (μ
D
)
Q
Estimated σ
Hypothesis Test
t-test of difference of means (μ
1
- μ
2
) (unknown σ
s)
N
O
P
Independent Samples or Matched Pairs
Independent Samples
Are the σ known?
Known σ
Hypothesis Test
z-test of difference of means (μ
1
- μ
2
) (known σs
)
Hypothesis Test
χ
2
Test of a Variance (σ
2
)
Two - We will not be doing in Estimation (CI) with 2 populations
What aspect is being compared?
Means
χ
2
Goodness of Fit Test
Variance or Standard Deviation
Estimation or Hypothesis Test
Estimation
χ
2
Interval Estimate (CI) of a Variance (σ
2
)
Estimation or Hypothesis Test
Estimation
z-Interval Estimate (CI) of a Proportion
Hypothesis Test
z-test of a Proportion
Hypothesis Test
t-test of a Mean (μ) (unknown σ)
Counts or Proportions
Number of Categories
Two (Success and Failure)
Hypothesis Test
z-test of a Mean (μ) (known σ)
Estimated s
Estimation or Hypothesis Test
Estimation
t-Interval Estimate (CI) of a Mean (μ) (unknown σ)
Is σ known?
Known σ
Estimation or Hypothesis Test
Estimation
z-Interval Estimate (CI) of a Mean (μ) (known σ)
How many populations or datasets are being analyzed or compared?
One
What aspect is being compared?
Means
