隨著典型相關分析應用的日益廣泛，線性典型相關分析並不足以描述兩個主題事務間確實的關連及與其個別相關事務的互動關係，為了更適切地解釋資料數據背後所表達的現象，近來不斷地有關於非線性典型相關分析的理論發表，本文利用1992年Sheng所發表的非線性典型相關分析的理論，將之應用在對臺灣地區民國八十二年的前二十五名最有聲望的企業的資料分析上，並比較應用線性典型相關分析與非線性典型相關分析做資料分析的結果。

實施十二年國民基本教育，目的是為促進學生五育均衡發展，兼顧國中學習品質及日常生活表現。由於各校對成績的評分標準與評分方式皆不相同，因此如何使在校成績採計達到公平性將成為一項重要的問題。 戴岑熹(2011) 考慮了國中在校綜合學科分數與基測總分間的相關性，以決定在校各學科的權重。而本研究延伸其概念與方法，將基測各科量尺分數考慮進來，於在校綜合學科分數與基測綜合量尺分數的關聯性最密切的情況下，分析各學科權重的取決方式，希望能找出較理想的模式來代表學生在校三年的整體學習表現與成果，以做為免試升學採計在校成績的參考與依據。 本文的研究方法是運用典型相關分析的理論，但因權重的限制條件與傳統典型相關分析的要求不同，因此，便將其命名為「類典型相關分析」。在類典型相關分析中，我們證明了在校各學科分數及基測各科量尺分數的最佳權重，可先透過典型相關分析求得典型相關向量，若有必要的話，使用Rao-Ghangurad 方法加以修正，最後，再將所獲得的非負典型相關向量正規化，即可獲得所要的結果，這是一個求最佳權重向量極便捷的途徑。在實例分析方面，我們發現了一個有趣的現象，即在校學科分數與基測考科量尺分數的最佳權重向量相當接近，即名稱相同的學科與考科幾乎有相同的權重。在比較了幾個權重分配方式不同的在校綜合學科分數後，我們也發現一般學校常用的等加權模式，其表現結果也頗優異。 / The purpose of implementing the twelve-year compulsory education is to promote the balanced development of learning in students, taking into account their learning quality and normal daily performances in school. As the evaluation standard and method vary among schools, achieving fairness in calculating in-school grades has become an important issue. Dai (2011) considered the correlations between the scores of in-school academic performance and the total score of the BCTEST for junior high schools, which decided to the weightings of all learning subjects. This study extended his concept and method, and took into account the scale scores of all learning subjects. In the closest case of the weightings of all learning subjects and find out the correlations between the scores of in-school academic performance and the BCTEST, and analyse the weightings of all learning subjects. We hope the study can find a better approach that can not only reflect students’ learning situations and achievements for the three years in school but also provide a reference for the evaluation of entering senior high schools without entrance examinations. The research method in this paper employs the theory of canonical correlation analysis.However, due to that fact that weight restrictions are different from the requirements of canonical correlation analysis, it is named as the canonical correlation analysis type approach. In the canonical correlation analysis type approach, we proved that the optimal weights for school subject score and test subject score scales can be obtained by finding the canonical correlation vectors using canonical correlation analysis. Then the Rao-Ghangurad method can further be used for amending, if needed. Finally, the nonnegative canonical correlation vectors generated would be normalized to get the desired result. It is an extremely convenient way to obtain the optimal weight vector. In the case study, we found an interesting phenomenon as follows: When the optimal weight vectors for school subject score and test subject score scales were very close, subjects and tests of the same name had almost the same weight. After comparing several comprehensive school subject scores of different weight distribution, we also found that the results of the equal weighting model commonly used in schools also showed quite good results.

本研究以不動產估價技術規則第19條第7項與第20條之規定，引用相似無關迴歸模式、多變量迴歸模式與典型相關分析等計量模式，對金融機構所做的擔保品估價進行驗證、預測及控制分析。 擔保品估價中會產生兩價，即擔保品的評估市場價格與評估擔保值（價），大部分的人都認為兩價存在一個比率關係。傳統的迴歸分析估價模式係由一組價格影響因素影響一個不動產價格，上述情形是否可能由同一組價格影響因素影響兩個不動產價格？本研究實證結果顯示，在95％統計信賴水準下，有兩個不動產價格受同一組價格因素影響的結果。既然驗證存在同一組價格影響因素影響兩個不動產價格，是否有更具效率的計量估價模式呢？典型相關分析係透過兩組變項之相關關係建構計量模式，除可再度驗證同一組價格影響因素影響兩個不動產價格，並可如同因素分析或主成份分析的功能，對兩組變項各做變項縮減的工作，達到對變項去蕪存菁的效果。 / This thesis is based on Article 19 No 7 and Article 20 of the Real Estate Appraisal Regulation. Seemingly Unrelated Regression Model, Multivariate Regression Model and Econometric Model and so on econometric model are applied. In addition, collateral valuations done by financial institutions are verified, predicted and analyzed. In collateral valuations, there are two-value references: assessed market value and assessed accommodation value. Majority believe that there is a ratio between these two values. The traditional regression analysis of the valuation model is having one set of pricing factors to have impact on the real estate price. However, is it possible that one set of pricing factors will affect two real estate prices? The findings approve that, under statistical confidence level with 95%, more than two real estate prices can be influenced by one set of pricing factors. Further more, this thesis also examines if there are other econometric valuation models to be applied? The canonical correlation analysis is to build a calculation model to analyze correlation between two variables. Other than examining one set of pricing factors can influence two real estate prices, this analysis also provides a similar function of the factor analysis or principal analysis to reduce variables caused by two sets of variable.

在全球化市場的激烈競爭環境中，資訊科技對企業而言已是一種提升競爭優勢的策略性設備，而先前文獻對於資訊科技能力的評估或與企業績效關聯性的探討，多以行為性問卷的認知數據量表進行研究，少有利用事實性問卷所收集的現象數據評估資訊科技能力及進一步分析資訊科技能力與企業績效關聯性之研究。故本研究基於資源基礎觀點理論，利用企業事實性現象填答問卷建立企業資訊科技能力評估模型，包含資訊科技的導入狀態、應用方式及使用經驗等現象相關問項，如硬體、網路、資訊系統應用程度及範圍等，並探討資訊科技能力與企業績效的關聯性。使用典型相關分析進行實證研究發現，針對先前政府委託調查所收集資料計算出來的企業資訊科技能力，與公開發行的上市櫃企業財務資料所計算出來的企業績效具有顯著關聯性，特別是會計型財務績效之經營能力，經檢定具統計顯著性。進一步進行產業別比較，先使用灰色熵權重分析對於各個子構面進行權重估計，並以權重加權法重新計算每一樣本之資訊科技能力，再進行單因子變異數分析，顯示各產業間之資訊科技能力及子構面能力多數呈現顯著差異。本研究所提出的資訊科技能力評估模型與企業績效關聯檢定模式，以及產業間資訊科技能力差異性分析模式，可提供政府或產業觀察機構建立長期觀測平台，以彙整各種產業資訊科技導入現象及應用範圍，使政府與企業可檢視整體產業整體或個別產業資訊科技能力之差異，藉以擬定資訊科技投資策略，提升企業競爭優勢。 / In the highly competitive globalization environment, information technology (IT) has become strategic equipment for leveraging a business’s competitive advantage. Most previous studies use perceptual questionnaire to collect behavioral data for evaluating IT capability, and furthermore to explore the relationship between IT capability and firm performance. Very few studies use factual questionnaire to collect the phenomenon data for analysis. In this study, we propose a model of evaluating IT capability based on Resource-Based View (RBV) theory and use factual phenomenon questionnaire including induction status, application approach, and usage experience, such as hardware, networks, IS application levels and scopes, etc. The research also explores the relationship between IT capability and firm performance. The IT capability data are calculated from the earlier government-sponsored survey. The firm performance data by financial indicators are collected or calculated from the open data of listed companies in Taiwan Stock Exchange and Over-the-Counter Agencies. The Canonical Correlation Analysis is used and shows significantly positive relationship for the IT capability affecting the firm performance, especially in Accounting-Based Financial Indicators. Before further analysis of industry comparison, Grey Entropy is used to estimate the weights of three sub-constructs and the overall IT capability is then re-calculated by integrating the weighted sub-construct capabilities. Afterwards, the One-Way ANOVA analysis is conducted and shows significant differences across industries in the overall IT capability of the firm and the IT capabilities of the sub-constructs. The proposed IT capability estimation model and the relationship analysis for the IT capability and firm performance can be used by the government or industry observation institution to continuously watch the industry IT capability phenomena and its relationship with the firm performance. The observation for the whole country and across industries can be used as a reference to pursue appropriate IT investments for strategic advantage.

線性迴歸模型中共線性的問題是導致模型不適當的重大原因之一。共線性 的存在不止會影響到參數的估計，使參數的變異變大，還會妨礙我們評估 自變數對模型重要性的能力，甚至會使我們忽略或去除掉重要的自變數。 而變異膨脹因子是診斷線性迴歸模型共線性問題時常用而有效的方法之一 ，但它只是考慮單一自變數的情況。本文則對於模型同時加入一組自變數 時影響原模型共線性的問題，先推導出廣義的判定係數，再利用它推導出 變異膨脹矩陣。再應用這個變異膨脹矩陣發展出六個準則，使得變異膨脹 矩陣有一個單一的指標來對模型的共線性做診斷。最後並以一個例子以實 際的數據，用六個準則對不同的模型做診斷，並嘗試找出各準則的指標。

國中基測實施迄今已十年，但是各種多元管道仍以國中基測量尺分數作為分發篩選之重要參據，多元能力評量參採比重偏低，國中學生升學競爭壓力未得緩解。本研究透過數學與統計分析的工具，尋找採用學生在校成績的方法，希望能找出更好的方式來代表學生在校三年的學習現況與學習成果，以做為免試升學採計在校成績的參考與依據。 本研究主要目的是要探討如何取決各科在校成績的權重(也就是在每個科目的分數之前乘上一個加權比重係數)，以求得一個新的合成變量(由數個科目分數組成的線性組合)，並用這個新合成變量做為學生在校的“綜合學科能力表現分數”，代表學生在校三年的基本學習能力及程度。 研究方法運用主成份分析與典型相關分析的觀念，但因限制條件設定的範圍與傳統主成分分析及典型相關分析的要求不一致，因此，我們便將所用的研究方法命名為「類主成分分析」與「類典型相關分析」。 研究中，方法主要在比較「類主成分分析」、「主成分分析」、「類典型相關分析」、以及「典型相關分析」四種方法與一般學校常用的「等加權比重」算平均成績的方法之分別；了解這些不同加權機制對同一所學校內學生的學科加權平均分數之成績排名百分比結果，以及與基測排名結果的差異。 「類主成份分析」研究結果發現，各科學科成績中變異數大的科目將獲得較大的權重比例，成為主導學生加權平均成績中舉足輕重的科目。另外；運用「類典型相關分析法」所求得的典型相關係數，其結果與傳統典型相關分析法以及使用最佳數值分析軟體(GAMS)所得的典型相關係數完全相同。 本研究最重要的貢獻之一，是我們在「類典型相關分析法」中證明並推導出一個求得各科權重的公式，只要使用此公式代入簡單的MATLAB程式，其所得的權重結果與最佳化數值分析軟體(GAMS)所得的結果完全相同，但花費的計算時間及成本卻遠少於GAMS所需，是一個求權重極便捷的方法，讀者可以在本論文附錄7.5.2或政大應數系網站上下載此程式。本研究最後結論也發現，類主成份分析的變異解釋率是所有方法中較高的；與基測總分結果較相近的則是類典型相關分析所得的權重機制；而等加權方法所得的排名結果則與基測排名結果差異最小。 / The BCTEST (Basic Competence Test) for junior high school students has been implemented for ten years, however, the screenings for a variety of entrance programs are still based on the scale scores of the BCTEST with a low proportion of multi-intelligence. Hence, the competitive entrance pressure for junior high school students remains un-relieved. In view of this, via mathematics and statistics, this study is to explore an alternative approach which can not only reflect students' in-school grade, their learning situations and achievements but also represent a reference for entering senior high schools and junior colleges without entrance examinations. The purpose of this study is to determine the different weightings of five learning subjects (that is, multiply the score of each subject by a weighted coefficient) and acquire a new composite variable from the linear combinations of five learning subjects. Then, use this new composite variable as the synthetic score of students' in-school academic performance. Principal Component Analysis and Canonical Correlation Analysis are used in this study. Due to inconsistent restraints, the other two approaches we use are based on the concept of previously mentioned methodologies and denominated Principal Component Type of Analysis and Canonical Correlation Type of Analysis. In the study, we compare with the different results of Principal Component Analysis, Principal Component Type of Analysis, Canonical Correlation Analysis, Canonical Correlation Type of Analysis and identical weighted method to realize how these different weighted schemes affect the rankings of students from the same school on both their weighted in-school grade and scores of the BCTEST (Basic Competence Test). The outcomes of Principal Component Type of Analysis show that subjects with greater variance acquire larger weightings and play a dominant role in weighted in-school grade. Moreover, the correlation coefficients of Canonical Correlation Type of Analysis are completely the same as the ones of Canonical Correlation Analysis and GAMS. One of the most important contributions in this study is we have proven and derived a formula to acquire different weightings of five learning subjects by using Canonical Correlation Type of Analysis. The acquired weightings are completely the same as the ones of GAMS with less time consuming. Readers can download this program in appendix 7.5.2 or from the website of Department of Mathematical Sciences, National Chengchi University(NCCU). We have also found that, the explanation rate of variance obtained from Principal Component Type of Analysis is the highest; the weighted scheme of Canonical Correlation Type of Analysis is more similar to the scores of the BCTEST; the difference of the rankings between identical weighted method and the BCTEST is the smallest.

本研究探討服務設計、展覽體驗、體驗價值、顧客滿意度與推薦意願之關聯，以2010年台北國際花卉博覽會為例。主要研究目的是想了解花博園區的服務設計內容，是否會使前往花博的顧客有不同的體驗經驗，間接增加體驗價值，進一步使滿意度增加，進而願意推薦親朋好友前往參觀？也想了解是否因為顧客個人因素的不同，導致不同的體驗價值與顧客滿意度？ 本研究有效紙本問卷有136份，有效網路問卷有461份，全部問卷共597份。利用典型相關與迴歸分析，發現良好的服務設計將會帶給花博顧客正向的展覽體驗；良好的展覽體驗提高體驗價值；較高的體驗價值使顧客對此次花博擁有較高的滿意度進而使推薦意願提高。接著透過MANOVA、ANOVA、多重比較與T檢定，發現參觀花博的時間不同，對於體驗價值與顧客滿意度有所差異；而第一次參觀花博月份的不同，使滿意度有所差異；累計參觀花博次數不同，對於體驗價值與滿意度也會有所差異。 / In this study serive design, exhibition experience, experiential value, customer satisfication and recommendation are used to investigate the 2010 Taipei Flora Expo. The main purpose is to understand how the host organization service design used in the Flora Expo, caused tourists to have different experiences, increased experiential values, satisfication and recommendation. The study will also investigate whether different personal factors will cause different experiential values and satisfication. There are 136 subjects from paper questionnaire and 461 subjects from on-line questionnaire. Total subjects are 597. Using Canonical Correlation, Regression, MANOVA, ANOVA, Post Hoc and T test the resulting data is as follows： 1. Service design had a positive correlation to experiential marketing. 2. Experiential marketing had a positive correlation to experiential value. 3. Experiential value had a positive correlation to satisfaction. 4. Satisfaction had a positive correlation to recommendation. 5. Different visiting days (weekday, weekend, both) had different experiential value and satisfication 6. During the month (11-12, 1-2, 3-4) of people visting for the first time had different level of satisfication. 7. The amout of times (1, 2, above 3 times) visiting the expo had different experiential values and satisfication.