統計學(二)

Statistics (II)

學期

109-2

學分

0 學分

當期課號

1531

永久課號

DOM1042

開課單位

管理學院共同課程

授課教師

謝國文

校區

光復

類別

必修

上課時間表

* 根據陽明交大上課時間表所列

概述

課程概述與目標:運用在統計學(一)所學統計思考架構及統計推論基礎,繼續學習假設檢定及視實際資料特性而定的統計分析方法,如: 小樣本統計推論、變異數分析、迴歸分析、類別資料分析、及無母數分析。

先修科目

微積分與統計學(一)

備註

無備註

教學方式

.各班授課內容至少包含以下內容,其他章節範圍視各班授課進度進行補充。 .教師授課,助教輔導演習

評分方式

.學期作業: 依照進度定期公佈 .考試狀況: 二次期中考(本課程第二次期中考為共同統一考試,其餘兩次由各班授課老師自行出題, 第二次期中考範圍於學期開始後宣布)、一次期末考。小考(由各授課老師決定)。 .評量方法: 三次考試分別為25%, 30%(共同考試), 25%,作業、小考、其它20%

課程大綱

Inference from Small Samples (Ch 10)

1. Student's t Distribution 2. Small-Sample Inferences concerning a Population Mean 3. Small-Sample Inferences for the Difference between Two Population Means: Independent Samples 4. Small-Sample Inferences for the Difference between Two Population Means: A Paired-Difference Test 5. Inferences Concerning a Population Variance 6. Comparing Two Population Variances
The Analysis of Variance (Ch11)

1. The Design of an Experiment 2. The Completely Randomized Design 3. The Randomized Block Design 4. Two-Way Classification 5. Revisiting the Analysis of Variance Assumptions
Linear Regression and Correlation (Ch 12)

1. Simple Linear Regression 2. An Analysis of Variance for Linear Regression 3. Testing the Usefulness of the Linear Regression Model 4. Diagnostic Tools for Checking the Regression Assumptions 5. Estimation and Prediction Using the Fitted Line 6. Correlation Analysis
Analysis of Categorical Data (Ch 14)

1. Pearson's Chi-Square Statistic 2. Testing Specified Cell probabilities: The Goodness-of-fit Test 3. Contingency Tables: A Two-Way Classification 4. Comparing Several Multinomial Populations
Nonparametric Statistics(Ch 15)

1. The Wilcoxon Rank Sum Test: Independent Random Samples 2. The Sign Test for a Paired Experiment 3. The WIlcoxon Signed-Rank Test for a Paired Experiment 4. The Kruskal-Wallis H-Test for CRD 5. The Friedman Fr-Test for RBD 6. Rank Correlation Coefficient

週次計畫

週次	主題
第 1 週	Review & Hypothesis Tests — 10.1 ~ 10. 2/22, 2/24
第 2 週	3/1(Mon.) No class Hypothesis Tests — 10.1 ~ 10.3 3/3
第 3 週	Hypothesis Tests — 10.4 ~ 10.5 3/8, 3/10
第 4 週	Hypothesis Tests — 10.6 ~ 10.7 3/15, 3/17
第 5 週	Analysis of Variance — 11.1 ~ 11. 3/22, 3/24
第 6 週	3/29(Mon.) First Midterm (Hypothesis Tests) Analysis of Variance — 11.1 ~ 11.2 3/29, 3/31
第 7 週	4/5(Mon.) No class Analysis of Variance — 11.3 ~ 11.4 4/7
第 8 週	Analysis of Variance — 11.5 ~ 11.7 4/12, 4/14
第 9 週	Simple Linear Regression — 12.1 ~ 12.2 4/19, 4/21
第 10 週	Simple Linear Regression — 12.3 ~ 12.4 4/26, 4/28
第 11 週	Simple Linear Regression — 12.5 ~ 12.6 5/3, 5/5
第 12 週	5/10(Mon.) The Second Midterm (ANOVA & Simple/Multiple Regression) Analysis of Categorical Data — 14.1 ~ 14.2 5/10, 5/12
第 13 週	Analysis of Categorical Data — 14.3 ~ 14.4 5/17, 5/19
第 14 週	Nonparametric Statistics — 15.1 ~ 15.2 5/24, 5/26
第 15 週	Nonparametric Statistics — 15.3 ~ 15.4 5/31, 6/2
第 16 週	Nonparametric Statistics — 15.5 ~ 15.6 6/7, 6/9
第 17 週	Nonparametric Statistics — 15.7 6/16
第 18 週	6/21(Mon.) The final term (Categorical Data & Nonparametric Statistics) 6/21

教科書

Introduction to Probability and Statistics, W. Mendenhall, R. Beaver, and B. Beaver. 15th Edition 2019 by Cengage Learning, Inc.

Office Hours