[信息與通信]第六章英文-簡化版-方差分析參考資料-ch10-designofexperimentsandanalysis(編輯修改稿)
2025-02-15 09:40 本頁面
【文章內(nèi)容簡介】 0 35169。 2022 Pearson Prentice HallSummary Table(Partially Completed)Source ofVariationDegrees ofFreedomSum ofSquaresMeanSquare(Variance)FTreatment(Methods)348Error 80Total10 36169。 2022 Pearson Prentice HallF0 OneWay ANOVA FTest Solution*H0: ?1 = ?2 = ?3 = ?4Ha: Not All Equal? = .05?1 = 3 ?2 = 8 Critical Value(s):Test Statistic: Decision:Conclusion:Reject at ? = .05There Is Evidence Pop. Means Are Different? = .05F MSTMSE? ? ?11610 116.10 37169。 2022 Pearson Prentice HallSummary Table Solution*Source ofVariationDegrees ofFreedomSum ofSquaresMeanSquare(Variance)FTreatment(Methods)4 1 = 3 348 116 Error 12 4 = 8 80 10Total 12 1 = 11 428: condition 1 vs. 2Two?s??ple t test with equ?l v?ri?nces?????????????????????????????????????????????????????????????????????????????? Group | Obs Me?n Std. Err. Std. Dev. [95% Conf. Interv?l]?????????+???????????????????????????????????????????????????????????????????? 1 | 50 2 | 42 ?????????+????????????????????????????????????????????????????????????????????co?bined | 92 ?????????+???????????????????????????????????????????????????????????????????? diff | ? ??????????????????????????????????????????????????????????????????????????????Degrees of freedo?: 90 Ho: ?e?n(1) ? ?e?n(2) ? diff ? 0 H?: diff 0 H?: diff !? 0 H?: diff 0 t ? t ? t ? P t ? P |t| ? P t ? condition 2 vs. 3Two?s??ple t test with equ?l v?ri?nces?????????????????????????????????????????????????????????????????????????????? Group | Obs Me?n Std. Err. Std. Dev. [95% Conf. Interv?l]?????????+???????????????????????????????????????????????????????????????????? 2 | 42 3 | 47 ?????????+????????????????????????????????????????????????????????????????????co?bined | 89 ?????????+???????????????????????????????????????????????????????????????????? diff | ??????????????????????????????????????????????????????????????????????????????Degrees of freedo?: 87 Ho: ?e?n(2) ? ?e?n(3) ? diff ? 0 H?: diff 0 H?: diff !? 0 H?: diff 0 t ? t ? t ? P t ? P |t| ? P t ? 10 40169。 2022 Pearson Prentice HallMultiple Comparisons ProblemP{At least one of p intervals fails to contain the true difference}= 1 – P{All c intervals contain the true differences}= 1 – (1alpha)c alphaIf paring many pairs, need greater confidence for any one of them than you would for rejecting equality of any one pair10 41169。 2022 Pearson Prentice HallMultiple Comparisons Procedure Which Population Means Are Significantly Different nExample: ?1 = ?2 ? ?3 Hoc ProcedurenDone After Rejection of Equal Means in ANOVA?Output From Many Statistical puter Programs– various versions (Tukey, Bonferroni, etc.) Multiple Comparisons (Bonferroni)Row Me?n?|Col Me?n | 1 2?????????+?????????????????????? 2 | ? | | 3 | ? ? | 10 43169。 2022 Pearson Prentice HallRandomized Block Design10 44169。 2022 Pearson Prentice HallTypes of Regression ModelsExperimentalDesignsOneWay AnovaCompletely RandomizedRandomized BlockTwoWay AnovaFactorial 10 45169。 2022 P
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