{"id":2049,"date":"2022-01-26T21:27:34","date_gmt":"2022-01-26T21:27:34","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/?post_type=chapter&p=2049"},"modified":"2022-02-09T19:59:21","modified_gmt":"2022-02-09T19:59:21","slug":"14d","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/chapter\/14d\/","title":{"raw":"14D","rendered":"14D"},"content":{"raw":"\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Comparison<\/strong><\/td>\r\nDifference Compared<\/strong>\r\n\r\n(Part A)<\/strong><\/td>\r\nAdjusted Confidence Interval (Part B)<\/strong><\/td>\r\n<\/tr>\r\n
Placebo vs. Milk Powder<\/td>\r\n<\/td>\r\n(0.62, 0.36)<\/td>\r\n<\/tr>\r\n
Placebo vs. Calcium Pill<\/td>\r\n<\/td>\r\n(0.62, 0.36)<\/td>\r\n<\/tr>\r\n
Placebo vs. Calcium Pill + Exercise<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Milk Powder vs. Calcium Pill<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Milk Powder vs. Calcium Pill + Exercise<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Calcium Pill vs. Calcium Pill + Exercise<\/td>\r\n<\/td>\r\n(0.59, 0.33)<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Significantly Different Mean Bone Density<\/strong><\/td>\r\nNOT Significantly Different Mean Bone Density<\/strong><\/td>\r\n<\/tr>\r\n
Placebo vs. Milk Powder<\/td>\r\n<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Sterillium<\/strong><\/td>\r\nPureHands<\/strong><\/td>\r\nLifebuoy<\/strong><\/td>\r\nDettol<\/strong><\/td>\r\n<\/tr>\r\n
15.67<\/td>\r\n8.7<\/td>\r\n9.95<\/td>\r\n7.48<\/td>\r\n<\/tr>\r\n
16.79<\/td>\r\n8.41<\/td>\r\n10.16<\/td>\r\n7.82<\/td>\r\n<\/tr>\r\n
15.69<\/td>\r\n8.37<\/td>\r\n10.15<\/td>\r\n9.56<\/td>\r\n<\/tr>\r\n
15.67<\/td>\r\n8.21<\/td>\r\n9.96<\/td>\r\n8.16<\/td>\r\n<\/tr>\r\n
14.99<\/td>\r\n6.66<\/td>\r\n10.51<\/td>\r\n7.71<\/td>\r\n<\/tr>\r\n
14.87<\/td>\r\n6.94<\/td>\r\n8.52<\/td>\r\n9.12<\/td>\r\n<\/tr>\r\n
16.07<\/td>\r\n7.48<\/td>\r\n8.23<\/td>\r\n7.68<\/td>\r\n<\/tr>\r\n
14.18<\/td>\r\n6.7<\/td>\r\n11.09<\/td>\r\n8.61<\/td>\r\n<\/tr>\r\n
15.38<\/td>\r\n6.93<\/td>\r\n8.89<\/td>\r\n7.71<\/td>\r\n<\/tr>\r\n
16.3<\/td>\r\n8.56<\/td>\r\n8.06<\/td>\r\n8.5<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
A<\/td>\r\nB<\/td>\r\nC<\/td>\r\nD<\/td>\r\n<\/tr>\r\n
59<\/td>\r\n67<\/td>\r\n62<\/td>\r\n69<\/td>\r\n<\/tr>\r\n
54<\/td>\r\n66<\/td>\r\n74<\/td>\r\n62<\/td>\r\n<\/tr>\r\n
60<\/td>\r\n51<\/td>\r\n62<\/td>\r\n70<\/td>\r\n<\/tr>\r\n
57<\/td>\r\n68<\/td>\r\n64<\/td>\r\n73<\/td>\r\n<\/tr>\r\n
58<\/td>\r\n65<\/td>\r\n77<\/td>\r\n53<\/td>\r\n<\/tr>\r\n
52<\/td>\r\n54<\/td>\r\n59<\/td>\r\n73<\/td>\r\n<\/tr>\r\n
67<\/td>\r\n57<\/td>\r\n58<\/td>\r\n75<\/td>\r\n<\/tr>\r\n
61<\/td>\r\n55<\/td>\r\n64<\/td>\r\n64<\/td>\r\n<\/tr>\r\n
54<\/td>\r\n59<\/td>\r\n68<\/td>\r\n67<\/td>\r\n<\/tr>\r\n
56<\/td>\r\n66<\/td>\r\n65<\/td>\r\n73<\/td>\r\n<\/tr>\r\n
62<\/td>\r\n70<\/td>\r\n66<\/td>\r\n69<\/td>\r\n<\/tr>\r\n
60<\/td>\r\n56<\/td>\r\n64<\/td>\r\n69<\/td>\r\n<\/tr>\r\n
56<\/td>\r\n56<\/td>\r\n73<\/td>\r\n72<\/td>\r\n<\/tr>\r\n
61<\/td>\r\n53<\/td>\r\n65<\/td>\r\n73<\/td>\r\n<\/tr>\r\n
67<\/td>\r\n56<\/td>\r\n67<\/td>\r\n73<\/td>\r\n<\/tr>\r\n
65<\/td>\r\n72<\/td>\r\n72<\/td>\r\n59<\/td>\r\n<\/tr>\r\n
61<\/td>\r\n64<\/td>\r\n63<\/td>\r\n77<\/td>\r\n<\/tr>\r\n
61<\/td>\r\n64<\/td>\r\n72<\/td>\r\n62<\/td>\r\n<\/tr>\r\n
60<\/td>\r\n63<\/td>\r\n63<\/td>\r\n77<\/td>\r\n<\/tr>\r\n
62<\/td>\r\n57<\/td>\r\n64<\/td>\r\n67<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Comparison<\/strong><\/td>\r\nProbability of Committing<\/strong>\r\n\r\na Type I Error<\/strong><\/td>\r\n<\/tr>\r\n
Group A vs. Group B<\/td>\r\n0.05<\/td>\r\n<\/tr>\r\n
Group A vs. Group C<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Group A vs. Group D<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Group B vs. Group C<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Group B vs. Group D<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Group C vs. Group D<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Significantly Different Mean Midterm Grades<\/strong><\/td>\r\nNOT Significantly Different Mean Midterm Grades<\/strong><\/td>\r\n<\/tr>\r\n
Group A vs. Group C<\/td>\r\nGroup A vs. Group B<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/tr>\r\n
<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Skill or Concept: I can . . .<\/td>\r\nQuestions to check your understanding<\/td>\r\nRating\r\nfrom 1 to 5<\/td>\r\n<\/tr>\r\n
Understand the limitations of the conclusions from the F-test in an ANOVA.<\/td>\r\n1<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Identify the null and alternative hypotheses for all pair-wise comparisons.<\/td>\r\n2\u20134<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Use technology to perform a two-sample t-test.<\/td>\r\n5, 6<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Identify the probability of type I errors and issues that arise with multiple comparisons.<\/td>\r\n7, 8<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Use adjusted confidence intervals to conduct all pair-wise tests and make conclusions about significant differences.<\/td>\r\n9, 10<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\"An \"\" \"A \"A\r\n\r\nANOVA Table:<\/span><\/strong>\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Source<\/strong><\/td>\r\ndf<\/strong><\/td>\r\nSum of Squares<\/strong><\/td>\r\nMean Square<\/strong><\/td>\r\nF Statistic<\/strong><\/td>\r\nP-value<\/strong><\/td>\r\n<\/tr>\r\n
Group<\/td>\r\n3<\/td>\r\n1122<\/td>\r\n374<\/td>\r\n12.46<\/td>\r\n<0.0001<\/td>\r\n<\/tr>\r\n
Error<\/td>\r\n76<\/td>\r\n2282<\/td>\r\n30.02<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n
Total<\/td>\r\n79<\/td>\r\n3404<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Comparison<\/td>\r\nEstimated Difference In Means<\/td>\r\nStandard Error<\/td>\r\nt Statistic<\/td>\r\nP-value<\/td>\r\nLower Bound<\/td>\r\nUpper Bound<\/td>\r\n<\/tr>\r\n
Group A vs. Group B<\/td>\r\n-1.30<\/td>\r\n1.73<\/td>\r\n-0.75<\/td>\r\n0.45<\/td>\r\n-4.75<\/td>\r\n2.15<\/td>\r\n<\/tr>\r\n
Group A vs. Group C<\/td>\r\n-6.45<\/td>\r\n1.73<\/td>\r\n-3.72<\/td>\r\n0.00<\/td>\r\n-9.90<\/td>\r\n-3.00<\/td>\r\n<\/tr>\r\n
Group A vs. Group D<\/td>\r\n-9.20<\/td>\r\n1.73<\/td>\r\n-5.31<\/td>\r\n0.00<\/td>\r\n-12.65<\/td>\r\n-5.75<\/td>\r\n<\/tr>\r\n
Group B vs. Group C<\/td>\r\n-5.15<\/td>\r\n1.73<\/td>\r\n-2.97<\/td>\r\n0.00<\/td>\r\n-8.60<\/td>\r\n-1.70<\/td>\r\n<\/tr>\r\n
Group B vs. Group D<\/td>\r\n-7.90<\/td>\r\n1.73<\/td>\r\n-4.56<\/td>\r\n0.00<\/td>\r\n-11.35<\/td>\r\n-4.45<\/td>\r\n<\/tr>\r\n
Group C vs Group D<\/td>\r\n-2.75<\/td>\r\n1.73<\/td>\r\n-1.59<\/td>\r\n0.11<\/td>\r\n-6.20<\/td>\r\n0.70<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
Comparison<\/td>\r\nEstimated Difference in Means<\/td>\r\nStandard Error<\/td>\r\nt Statistic<\/td>\r\nMultiplicity Adjusted P-value<\/td>\r\nLower Bound<\/td>\r\nUpper Bound<\/td>\r\n<\/tr>\r\n
Group A vs. Group B<\/td>\r\n-1.30<\/td>\r\n1.73<\/td>\r\n-0.75<\/td>\r\n0.88<\/td>\r\n-5.85<\/td>\r\n3.25<\/td>\r\n<\/tr>\r\n
Group A vs. Group C<\/td>\r\n-6.45<\/td>\r\n1.73<\/td>\r\n-3.72<\/td>\r\n0.00<\/td>\r\n-11.00<\/td>\r\n-1.90<\/td>\r\n<\/tr>\r\n
Group A vs. Group D<\/td>\r\n-9.20<\/td>\r\n1.73<\/td>\r\n-5.31<\/td>\r\n0.00<\/td>\r\n-13.75<\/td>\r\n-4.65<\/td>\r\n<\/tr>\r\n
Group B vs. Group C<\/td>\r\n-5.15<\/td>\r\n1.73<\/td>\r\n-2.97<\/td>\r\n0.02<\/td>\r\n-9.70<\/td>\r\n-0.60<\/td>\r\n<\/tr>\r\n
Group B vs. Group D<\/td>\r\n-7.90<\/td>\r\n1.73<\/td>\r\n-4.56<\/td>\r\n0.00<\/td>\r\n-12.45<\/td>\r\n-3.35<\/td>\r\n<\/tr>\r\n
Group C vs. Group D<\/td>\r\n-2.75<\/td>\r\n1.73<\/td>\r\n-1.59<\/td>\r\n0.39<\/td>\r\n-7.30<\/td>\r\n1.80<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n
Glossary<\/dl>\r\n
\r\n \t
pair-wise comparisons<\/dt>\r\n \t
comparisons between two things.<\/dd>\r\n<\/dl>\r\n
\r\n \t
data snooping<\/dt>\r\n \t
showing only the comparisons you want to show based on the boxplot, also called\u00a0data fishing<\/strong>.<\/dd>\r\n<\/dl>\r\n
\r\n \t
family-wise error rate<\/dt>\r\n \t
the probability of rejecting at least one of the true null hypotheses.<\/dd>\r\n<\/dl>\r\n
\r\n \t
Tukey method<\/dt>\r\n \t
a method that adjusts the length of the confidence interval (to ensure an overall level of confidence) and the P-value (to ensure an overall significance level for all pair-wise comparisons).<\/dd>\r\n<\/dl>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>","rendered":"\n\n\n\n\n\n\n\n\n
Comparison<\/strong><\/td>\nDifference Compared<\/strong><\/p>\n

(Part A)<\/strong><\/td>\n

Adjusted Confidence Interval (Part B)<\/strong><\/td>\n<\/tr>\n
Placebo vs. Milk Powder<\/td>\n<\/td>\n(0.62, 0.36)<\/td>\n<\/tr>\n
Placebo vs. Calcium Pill<\/td>\n<\/td>\n(0.62, 0.36)<\/td>\n<\/tr>\n
Placebo vs. Calcium Pill + Exercise<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
Milk Powder vs. Calcium Pill<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
Milk Powder vs. Calcium Pill + Exercise<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
Calcium Pill vs. Calcium Pill + Exercise<\/td>\n<\/td>\n(0.59, 0.33)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n\n\n\n
Significantly Different Mean Bone Density<\/strong><\/td>\nNOT Significantly Different Mean Bone Density<\/strong><\/td>\n<\/tr>\n
Placebo vs. Milk Powder<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Sterillium<\/strong><\/td>\nPureHands<\/strong><\/td>\nLifebuoy<\/strong><\/td>\nDettol<\/strong><\/td>\n<\/tr>\n
15.67<\/td>\n8.7<\/td>\n9.95<\/td>\n7.48<\/td>\n<\/tr>\n
16.79<\/td>\n8.41<\/td>\n10.16<\/td>\n7.82<\/td>\n<\/tr>\n
15.69<\/td>\n8.37<\/td>\n10.15<\/td>\n9.56<\/td>\n<\/tr>\n
15.67<\/td>\n8.21<\/td>\n9.96<\/td>\n8.16<\/td>\n<\/tr>\n
14.99<\/td>\n6.66<\/td>\n10.51<\/td>\n7.71<\/td>\n<\/tr>\n
14.87<\/td>\n6.94<\/td>\n8.52<\/td>\n9.12<\/td>\n<\/tr>\n
16.07<\/td>\n7.48<\/td>\n8.23<\/td>\n7.68<\/td>\n<\/tr>\n
14.18<\/td>\n6.7<\/td>\n11.09<\/td>\n8.61<\/td>\n<\/tr>\n
15.38<\/td>\n6.93<\/td>\n8.89<\/td>\n7.71<\/td>\n<\/tr>\n
16.3<\/td>\n8.56<\/td>\n8.06<\/td>\n8.5<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
A<\/td>\nB<\/td>\nC<\/td>\nD<\/td>\n<\/tr>\n
59<\/td>\n67<\/td>\n62<\/td>\n69<\/td>\n<\/tr>\n
54<\/td>\n66<\/td>\n74<\/td>\n62<\/td>\n<\/tr>\n
60<\/td>\n51<\/td>\n62<\/td>\n70<\/td>\n<\/tr>\n
57<\/td>\n68<\/td>\n64<\/td>\n73<\/td>\n<\/tr>\n
58<\/td>\n65<\/td>\n77<\/td>\n53<\/td>\n<\/tr>\n
52<\/td>\n54<\/td>\n59<\/td>\n73<\/td>\n<\/tr>\n
67<\/td>\n57<\/td>\n58<\/td>\n75<\/td>\n<\/tr>\n
61<\/td>\n55<\/td>\n64<\/td>\n64<\/td>\n<\/tr>\n
54<\/td>\n59<\/td>\n68<\/td>\n67<\/td>\n<\/tr>\n
56<\/td>\n66<\/td>\n65<\/td>\n73<\/td>\n<\/tr>\n
62<\/td>\n70<\/td>\n66<\/td>\n69<\/td>\n<\/tr>\n
60<\/td>\n56<\/td>\n64<\/td>\n69<\/td>\n<\/tr>\n
56<\/td>\n56<\/td>\n73<\/td>\n72<\/td>\n<\/tr>\n
61<\/td>\n53<\/td>\n65<\/td>\n73<\/td>\n<\/tr>\n
67<\/td>\n56<\/td>\n67<\/td>\n73<\/td>\n<\/tr>\n
65<\/td>\n72<\/td>\n72<\/td>\n59<\/td>\n<\/tr>\n
61<\/td>\n64<\/td>\n63<\/td>\n77<\/td>\n<\/tr>\n
61<\/td>\n64<\/td>\n72<\/td>\n62<\/td>\n<\/tr>\n
60<\/td>\n63<\/td>\n63<\/td>\n77<\/td>\n<\/tr>\n
62<\/td>\n57<\/td>\n64<\/td>\n67<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n\n\n\n\n
Comparison<\/strong><\/td>\nProbability of Committing<\/strong><\/p>\n

a Type I Error<\/strong><\/td>\n<\/tr>\n

Group A vs. Group B<\/td>\n0.05<\/td>\n<\/tr>\n
Group A vs. Group C<\/td>\n<\/td>\n<\/tr>\n
Group A vs. Group D<\/td>\n<\/td>\n<\/tr>\n
Group B vs. Group C<\/td>\n<\/td>\n<\/tr>\n
Group B vs. Group D<\/td>\n<\/td>\n<\/tr>\n
Group C vs. Group D<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n\n\n
Significantly Different Mean Midterm Grades<\/strong><\/td>\nNOT Significantly Different Mean Midterm Grades<\/strong><\/td>\n<\/tr>\n
Group A vs. Group C<\/td>\nGroup A vs. Group B<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\n\n\n\n\n\n\n\n
Skill or Concept: I can . . .<\/td>\nQuestions to check your understanding<\/td>\nRating
\nfrom 1 to 5<\/td>\n<\/tr>\n
Understand the limitations of the conclusions from the F-test in an ANOVA.<\/td>\n1<\/td>\n<\/td>\n<\/tr>\n
Identify the null and alternative hypotheses for all pair-wise comparisons.<\/td>\n2\u20134<\/td>\n<\/td>\n<\/tr>\n
Use technology to perform a two-sample t-test.<\/td>\n5, 6<\/td>\n<\/td>\n<\/tr>\n
Identify the probability of type I errors and issues that arise with multiple comparisons.<\/td>\n7, 8<\/td>\n<\/td>\n<\/tr>\n
Use adjusted confidence intervals to conduct all pair-wise tests and make conclusions about significant differences.<\/td>\n9, 10<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

\"An \"\" \"A \"A<\/p>\n

ANOVA Table:<\/span><\/strong><\/p>\n\n\n\n\n\n\n
Source<\/strong><\/td>\ndf<\/strong><\/td>\nSum of Squares<\/strong><\/td>\nMean Square<\/strong><\/td>\nF Statistic<\/strong><\/td>\nP-value<\/strong><\/td>\n<\/tr>\n
Group<\/td>\n3<\/td>\n1122<\/td>\n374<\/td>\n12.46<\/td>\n<0.0001<\/td>\n<\/tr>\n
Error<\/td>\n76<\/td>\n2282<\/td>\n30.02<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
Total<\/td>\n79<\/td>\n3404<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n
Comparison<\/td>\nEstimated Difference In Means<\/td>\nStandard Error<\/td>\nt Statistic<\/td>\nP-value<\/td>\nLower Bound<\/td>\nUpper Bound<\/td>\n<\/tr>\n
Group A vs. Group B<\/td>\n-1.30<\/td>\n1.73<\/td>\n-0.75<\/td>\n0.45<\/td>\n-4.75<\/td>\n2.15<\/td>\n<\/tr>\n
Group A vs. Group C<\/td>\n-6.45<\/td>\n1.73<\/td>\n-3.72<\/td>\n0.00<\/td>\n-9.90<\/td>\n-3.00<\/td>\n<\/tr>\n
Group A vs. Group D<\/td>\n-9.20<\/td>\n1.73<\/td>\n-5.31<\/td>\n0.00<\/td>\n-12.65<\/td>\n-5.75<\/td>\n<\/tr>\n
Group B vs. Group C<\/td>\n-5.15<\/td>\n1.73<\/td>\n-2.97<\/td>\n0.00<\/td>\n-8.60<\/td>\n-1.70<\/td>\n<\/tr>\n
Group B vs. Group D<\/td>\n-7.90<\/td>\n1.73<\/td>\n-4.56<\/td>\n0.00<\/td>\n-11.35<\/td>\n-4.45<\/td>\n<\/tr>\n
Group C vs Group D<\/td>\n-2.75<\/td>\n1.73<\/td>\n-1.59<\/td>\n0.11<\/td>\n-6.20<\/td>\n0.70<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n\n\n\n\n\n\n\n\n\n
Comparison<\/td>\nEstimated Difference in Means<\/td>\nStandard Error<\/td>\nt Statistic<\/td>\nMultiplicity Adjusted P-value<\/td>\nLower Bound<\/td>\nUpper Bound<\/td>\n<\/tr>\n
Group A vs. Group B<\/td>\n-1.30<\/td>\n1.73<\/td>\n-0.75<\/td>\n0.88<\/td>\n-5.85<\/td>\n3.25<\/td>\n<\/tr>\n
Group A vs. Group C<\/td>\n-6.45<\/td>\n1.73<\/td>\n-3.72<\/td>\n0.00<\/td>\n-11.00<\/td>\n-1.90<\/td>\n<\/tr>\n
Group A vs. Group D<\/td>\n-9.20<\/td>\n1.73<\/td>\n-5.31<\/td>\n0.00<\/td>\n-13.75<\/td>\n-4.65<\/td>\n<\/tr>\n
Group B vs. Group C<\/td>\n-5.15<\/td>\n1.73<\/td>\n-2.97<\/td>\n0.02<\/td>\n-9.70<\/td>\n-0.60<\/td>\n<\/tr>\n
Group B vs. Group D<\/td>\n-7.90<\/td>\n1.73<\/td>\n-4.56<\/td>\n0.00<\/td>\n-12.45<\/td>\n-3.35<\/td>\n<\/tr>\n
Group C vs. Group D<\/td>\n-2.75<\/td>\n1.73<\/td>\n-1.59<\/td>\n0.39<\/td>\n-7.30<\/td>\n1.80<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
<\/dl>\n
\n
pair-wise comparisons<\/dt>\n
comparisons between two things.<\/dd>\n<\/dl>\n
\n
data snooping<\/dt>\n
showing only the comparisons you want to show based on the boxplot, also called\u00a0data fishing<\/strong>.<\/dd>\n<\/dl>\n
\n
family-wise error rate<\/dt>\n
the probability of rejecting at least one of the true null hypotheses.<\/dd>\n<\/dl>\n
\n
Tukey method<\/dt>\n
a method that adjusts the length of the confidence interval (to ensure an overall level of confidence) and the P-value (to ensure an overall significance level for all pair-wise comparisons).<\/dd>\n<\/dl>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"author":23592,"menu_order":49,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2049","chapter","type-chapter","status-publish","hentry"],"part":704,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2049","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/users\/23592"}],"version-history":[{"count":5,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2049\/revisions"}],"predecessor-version":[{"id":2988,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2049\/revisions\/2988"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/parts\/704"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapters\/2049\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/media?parent=2049"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/pressbooks\/v2\/chapter-type?post=2049"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/contributor?post=2049"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/lumen-danacenter-statsmockup\/wp-json\/wp\/v2\/license?post=2049"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}