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[统计学假设检验第五章12.ppt

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1°备择假设没有特定的方向性,并含有符号“?”的假设检验,称为双侧检验或双尾检验(two-tailed test) 2°备择假设具有特定的方向性,并含有符号“”或“”的假设检验,称为单侧检验或单尾检验(one-tailed test) 备择假设的方向为“”,称为左侧检验 备择假设的方向为“”,称为右侧检验 (1)双侧检验与单侧检验 Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 假设 双侧检验 单侧检验 左侧检验 右侧检验 原假设 H0 : m =m0 H0 : m ?m0 H0 : m ?m0 备择假设 H1 : m ≠m0 H1 : m m0 H1 : m m0 以总体均值的检验为例: 假设检验的3种形式: Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 【例1】一种零件的生产标准直径为10cm,为对生产过程进行控制,质量监测人员定期对一台加工机床检查,来确定这台机床生产的零件是否符合标准要求。若零件的平均直径大于或小于10cm,则表明生产过程不正常,必须进行调整。试陈述用来检验生产过程是否正常的原假设和备择假设。 解:研究者想收集证据予以证明的假设应该是“生产过程不正常”。建立的原假设和备择假设为: H0 : ? ? 10cm H1 : ? ? 10cm Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 抽样分布 H0 临界值 临界值 a/2 a/2 拒绝H0 拒绝H0 1 - ? 置信水平 Region of Rejection Region of Non rejection Region of Rejection 双侧检验: 观察到的样本统计量 √ Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 抽样分布 H0 临界值 临界值 a/2 a/2 拒绝H0 拒绝H0 1 - ? 置信水平 Region of Rejection Region of Non rejection Region of Rejection 双侧检验: 观察到的样本统计量 × Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd. 抽样分布 H0 临界值 临界值 a/2 a/2 拒绝H0 拒绝H0 1 - ? 置信水平 Re
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