h 0 : h 1 : α = decision rule: if then do not reject h 0 , otherwise reject h 0 . test statistic:
DESCRIPTION
H 0 : H 1 : α = Decision Rule: If then do not reject H 0 , otherwise reject H 0 . Test Statistic: Decision: Conclusion: We have found ________________ evidence at the _____ level of significance that. H 0 : H 1 : α = Decision Rule: If - PowerPoint PPT PresentationTRANSCRIPT
© Buddy Freeman, 2015
H0:
H1:
α =
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that
© Buddy Freeman, 2015
H0:
H1:
α =
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that
.05
.05
© Buddy Freeman, 2015
H0:
H1:
α =
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that the additive increases the number of miles per gallon.
.05
.05
μ1 > μ2
μ1 = μ2
With Without
© Buddy Freeman, 2014
# of groups?
Parameter?
Can we make all
fe > 5?
Normalpopulations
?
Hartley’s Fmax *(not in text)
Resample and try again.
yes
no
yes
no
chi-squaredf = (R-1)(C-1)pp. 368-374
yes
no Kruskal-Wallis*pp. 621-625
1-way ANOVApp. 386-395ANOVA
OK?
meanor
median
proportion
varianceor
standard deviation
morethan
2
Parameter?
RelatedSamples
?
meanor
median
proportionvariance
orstandard deviation Normal
populations?
yes
no
Levine-Brown-Forsythe
F = S12/S2
2
pp. 344-354
Z for proportionspp. 322-328
yes
no unequal-variances t-testp. 307-315
pooled-variances t-testpp. 307-315
Wilcoxon Rank Sum*pp. 616-621
no
yesNormalpopulations
?
Normalpopulations
?
yes
noyes
non1 > 30
andn2 > 30
?
Z for means with σ1 & σ2 pp. 307-315
yes
no
σ1 and σ2
both known?
no
Normalpopulations
?
yes
noyes
at leastinterval
level data?
yes
noSign Test*pp. 631-634.
Wilcoxon Signed-Ranks*pp. 614-616
paired-difference t-testpp. 315-322
2
chi-square goodness-of-fit test pp. for the Multinomial Experiment 362-368and the Normal Distribution 374-376
2 Groups and > 2 Groups FlowchartSpearman Rank Correlation testpp. 625-630 1
2
3
4
5
7
8
9
10
11
12
13
14
15
yes
no
n1 > 30and
n2 > 30?
6
σ1 = σ2
?
Levine-Brown-Forsythe
Jaggiaand Kelly
(1st edition)
Default case
* means coverage is different from text.
© Buddy Freeman, 2015
H0:
H1:
α =
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that the additive increases the number of miles per gallon.
.05
.05
μ1 > μ2
μ1 = μ2
With Without
21
2
21212
1121
nnS
XXt
p
nn
© Buddy Freeman, 2015
where
2
11
21
222
2112
nn
SnSnS p
© Buddy Freeman, 2015
H0:
H1:
α =
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that the additive increases the number of miles per gallon.
.05
.05
μ1 > μ2
μ1 = μ2
With Without
21
2
21212
1121
nnS
XXt
p
nn
© Buddy Freeman, 2015
Reject H0.05Do not reject H0 Reject H0.05Do not reject H0
H0:
H1:
α =
Decision Rule:
If
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that the additive increases the number of miles per gallon.
.05
.05
μ1 > μ2
μ1 = μ2
With Without
21
2
21212
1121
nnS
XXt
p
nn
t = 1.74590
df = n1 +n2 – 2 = 16
© Buddy Freeman, 2015
Reject H0.05Do not reject H0 Reject H0.05Do not reject H0
H0:
H1:
α =
Decision Rule:
If tcomputed < 1.7459
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that the additive increases the number of miles per gallon.
.05
.05
μ1 > μ2
μ1 = μ2
With Without
21
2
21212
1121
nnS
XXt
p
nn
t = 1.74590
df = n1 +n2 – 2 = 16
© Buddy Freeman, 2015
8887.1
91
91
4391125.
016.2175.21
11
21
2
2121
221
nnS
XX
p
nnt
Reject H0.05Do not reject H0 Reject H0.05Do not reject H0
H0:
H1:
α =
Decision Rule:
If tcomputed < 1.7459
then do not reject H0, otherwise reject H0.
Test Statistic:
Decision:
Conclusion: We have found ________________ evidence at the _____ level of significance that the additive increases the number of miles per gallon.
.05
.05
μ1 > μ2
μ1 = μ2
With Without
t = 1.74590
df = n1 +n2 – 2 = 16
Reject H0.
sufficient
Reject H0