臺灣博碩士論文加值系統

迴歸分析已廣泛運用於管理、心理、組織、及策略等各領域研究中。然而，其中複相關係數分佈的結構十分複雜，許多研究者對直接相關的統計推論，如檢定力計算、區間估計、與所需求之樣本數等議題的不熟悉，故衍生許多經驗法則，但許多文獻証明由經驗法則所得之數據並不精確，故本研究主要針對研究者經常遇到的統計分析：假設檢定、檢定力計算、區間估計、以及樣本數等四大議題，利用Excel介面的親和性與普及性，配合電腦的迅速運算能力，提供便利與即時的統計分析軟體，以克服研究者因運算複雜而束手無策的窘境，並同時破除經驗法則的迷失，提供研究者一個精確的依據，以作為研究規劃與分析之用。

Regression analysis is widely used in many areas of science, and the literature is very extensive. Classical inferences on correlation coefficients are conducted mainly under the assumption that all variables have a joint multivariate normal distribution. Although the underlying normality assumption provides a convenient and useful setup, the resulting probability density function of the multiple correlation coefficients is notoriously complicated in form. Consequently, considerable attention has been devoted to the construction of useful approximations and rules of thumb for the inferential procedures of squared multiple correlation coefficient. In general, the rules of thumb fail to incorporate effect size and have often provided inaccurate results. In view of the ultimate aim of presenting exact procedures for correlation analysis and the extensive accessibility of Microsoft Excel software, the associated computer routines for hypothesis testing, interval estimation, power calculation, and sample size determination are developed. The statistical methods and available programs of multiple correlation analysis described in this article purport to enhance pedagogical presentation in academic curriculum and practical application in research.

中文摘要 i
英文摘要 ii
致謝辭 iii
目錄 iv
表目錄 vi
圖目錄 vii
一、 研究動機與目的 1
二、 文獻探討 9
2.1 顯著性假設檢定與檢定力 9
2.1.1 顯著性假設檢定 9
2.1.2 檢定力 10
2.2 信賴區間 14
2.3 樣本數 16
2.4 信賴區間、檢定力與樣本數 17
2.5 系統軟體相關文獻 20
三、 研究方法 22
3.1 R2之機率函數 22
3.2 假設檢定 24
3.3 區間估計 27
四、 系統發展與功能 30
4.1 系統軟體 30
4.2 數據之精確度與嚴謹性 31
4.3 軟體功能介紹 42
五、 關鍵要素分析 45
5.1 檢定力與其他關鍵因素之間的關係 45
5.1.1 預測變數個數與檢定力 46
5.1.2 效應量及檢定力 48
5.1.3 顯著水準與檢定力 48
5.1.4 樣本數與檢定力 51
5.1.5 小結 51
5.2 樣本數與其他關鍵因素之間的關係 54
5.2.1 母體判定係數與樣本數 54
5.2.2 預測變數個數與樣本數 58
5.2.3 小結 60
5.3 信賴區間 61
5.3.1 預測變數個數與信賴區間 61
5.3.2 樣本數與信賴區間 64
5.3.3 小結 65
六、 文獻個案與探討 68
6.1 RHO-SQUARE 應用時機 68
6.2 資訊管理與電子商務相關研究之個案 70
6.3 組織行為與心理相關研究之個案 79
七、 結論 83
參考文獻 86

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