Taneichi(1993)提出一個新的適合度檢定統計量J²，具有近似卡方分配的性質。然而在小樣本的情形下，計算機模擬結果顯示，它的估計顯著水準大於期望顯著水準。所以本論文的重點之一，就是對J²進行改進，根據不同的準則，來選取一個適當的常數a。我們建議對每一觀測次數加一常數0.32，作為我們修正後的統計量，這個統計量我們記為J₁²。 　　另一探討的重點是在比較皮爾生卡方統計量X²，概似比例統計量G²，Cressie & Read統計量 I(2/3)，J²和J₁²之性質，我們想要了解在小樣本的情形之下，何者較接近於卡方分配，何者具有較強的檢定力。研究結果顯示，X²和I(2/3)較接近卡方分配，但J₁²又較G²及J²好；至於檢定力，我們發現沒有一個統計量在文中所探討的對立假設的情況下，同時都具有最大的檢定力。這些現象都可以用觀測次數對期望次數比值間的關係來解釋。 / Taneichi(1993) introduces a new goodness-of-fit statisticJ², which has an asymptotic chi-squared distribution. However, the results of simulation indicate that the levels of significance are in general bigger than the nominal levels, which prompts us to device a version of J² statistic which would perform better under small sample size situations. We suggest adding 0.32 to each observed value and find that the adjustment indeed works rearonably well. This version of J^2 statistic is denoted as J(1)^2. 　　Although Pearson chi-square statistic X², likelihood ratio statistic G², Cresse-Read statistic I(2/3), J^2 and J(1) ^2 all have asymptotic chi-squared distributions, their small sample behaviors are not expected to be the same. Comparisons based on simulation studies are then made. The conclusions are as follows : (1) In terms of levels of significance, X² and I(2/3) behave more like a chi-squared distribution. Though J(1) ^2 does not perform as good as X² and I(2/3), it does outperform G² and J². (2) In terms of powers, it does not seem that any of the test statistics has a clear advantage over the others.

汽車產業早期在台灣一直都屬於重點產業，早從1950年代以前，台灣政府便開始發展汽車產業(陳釧瑤，1997)，然而若按照原定計畫，台灣汽車產業早該在1985年以後就邁入國際化以及自有品牌，不過現今大多數的台灣汽車廠商仍處於通路代理商和零組件代工製造階段，為了避免淘汰，本研究認為台灣汽車廠商應著手發展自有品牌，不過因為台灣廠商大多欠缺品牌知名度，謂此本研究認為台灣廠商可採行品牌聯盟策略。然而考量到市場未來趨勢與消費者需求的多元化，本次研究將以強調運動、休閒的SUV休旅車作為本次研究主要探討的車種，並希望能藉由品牌聯盟讓台灣汽車廠商得以自創品牌。 本次研究貢獻在學術方面有三，其一是產品屬性與產品屬性水準之詮釋、二是研究品牌聯盟議題時，需建立在品牌是否能替代某產品屬性的議題上，三是消費者在從事消費行為時確實會產生退縮或是漸進策略。在管理實務上，本研究所給予的建議有七，其一是品牌知名度高低將會影響消費者做出正確決定，其二是當消費者無法有效處理資訊時，車商品牌的重要性將會提升，其三是低辨識度品牌有動機發展成份品牌，其四是台灣汽車廠商自創品牌確實有其利基市場存在，其五是品牌自創過程中，必須不斷地做自我評估，其六是傳遞正確且為消費者所能承受並理解的正確資訊是價值創造的重要一環，其七是品牌建立本身即是策略規劃。 / Motor industry is one of the most important industry that Taiwan government energetically have developed and invested lots of resources since 1950(陳釧瑤，1997). Indeed, Taiwanese motor firms should have had their own brand and made it internationalized in 1985. However, most of Taiwanese motor firms are still on the stage of OEM or ODM. We regard this condition as a threat that will obstruct the profit growth and weaken the competitiveness of them. Therefore, we consider branding is one of the effective alternatives to strengthen the competitiveness of Taiwanese motor industry. Because of the low brand awareness of Taiwanese motor firms, brand alliance may be the best way that can help them to build their private label. Considering the trend of lifestyle in Taiwan, this literature will focus on “brand alliance of sport utility vehicle” and try to find some important attributes that will support them to select their partners and satisfy the consumer needs. As a result, this studying has three contributions to academic researcher. First, we redefine the meanings of product attribute and product attribute level that many academics confuse. Second, the consistency between the brand awareness of ingredient firms and product attribute should be considered when motor firms are finding the partners of alliance. Third, we verify either behavioral progression or behavioral depression may happen in purchase process (Alderfer, 1972). In practice, we find the fitness between product attributes and partner’s brand awareness will affect the result of brand alliance. The finding implies that ingredient firms which have great brand equity in B2B market may have low equity in B2C market. Second, the weight of car brand will be more important when asymmetric information exists. Third, the ingredient firms which have great equity in B2B market and low awareness in B2C market have the motive to cooperate with private label brand firms. Fourth, there are some niches in Taiwanese SUV market. Fifth, branding can’t success without self-audit. Sixth, delivering the appropriate and correct information to consumers is one of the most important things of value creation. Seventh, strategy is the nature of branding, so it will be very hard to brand without strategic planning.

微陣列晶片是發展及應用較為成熟的生物晶片技術。由於微陣列實驗程序複雜，故資料常包含多種不同來源的實驗誤差，為了適當的區分實驗中來自處理、晶片及基因的效應，我們提出混合效應變異數分析模型來調整系統誤差。針對各基因在不同實驗環境的差異性假設檢定問題，利用最小平方法推導出點估計以及對應的檢定統計量。本研究介紹多重檢定問題中的族型一誤差，並證明在此模型下，Sidak調整法為適當的多重檢定方法。在給定族型一誤差率的顯著水準，利用檢定力的公式，運算出在預設檢定力的最低水準下所需最小樣本（晶片）數。最後我們透過電腦模擬，以蒙地卡羅法來估計檢定力與族型一誤差率，由模擬結果發現，採用此最小樣本數結果，其檢定力可達到預期的水準以上，並且其族型一誤差率皆適當地控制在顯著水準以內。

有鑑於歐洲各國的福利政策與福利支出相較於其他國家高，歐洲國家多會提供窮困與殘障的人民最基本的社會保障，一般人民亦可享受到基礎醫療保障，在失業時也可以領取失業補助；歐洲各政府甚至會收購即將倒閉的企業或者提供補助使企業能夠繼續經營。然而在持續延燒的歐債危機下，為維持歐元區普遍的薪資和福利水平，歐元區內國家開始採取了國家借貸的做法，但由於國際經濟形勢不佳，歐元區經濟增量未達預期，許多國家原有債券陸續到期，若無法借到新貸款，國家將面臨倒閉危機。因此本論文主要以動態隨機一般均衡模型(DSGE)，探討一個封閉經濟體系下，政府支出進入家計單位效用函數後，換言之政府支出變動將會影響家計單位消費的邊際效用，試著尋找能夠極大化社會福利的政府公債占國內生產毛額的最適比例。我們發現在提高政府公債占國內生產毛額比例時：家計單位將預期未來稅賦繳納之金額更高，因而減少消費、增加儲蓄，所以會排擠掉部分私人消費；同時政府必須提撥部分費用以支付債券利息，所以將排擠掉部分政府支出。另外隨政府公債占國內生產毛額比率上升，整體社會福利水準會逐漸下降；因此，我們認為最適政府公債占國內生產毛額比率應為零。 關鍵字：動態隨機一般均衡模型、政府支出、邊際效用、公債、國內生產毛額、社會福利水準 / In Euro zone, large spending obligations needed to support the welfare state and redistribute wealth in an effort to gain greater equality. Most European countries provide liberal social security benefits to the poor, disabled, basic medical needs and very liberal unemployment benefits. They also own and run large public companies. Under the ongoing Euro debt crisis, European governments figure out the way to maintain the high welfare level by increasing the public debt they hold. In our paper, we would like to investigate the optimal ratio of public debt to GDP by constructing a micro-based dynamic stochastic general equilibrium model (DSGE) under a closed economy. We focus on discussing the optimal ratio of public debt to GDP which maximizes social welfare in economy while putting the government expenditure into households’ utility. That is to say, the government expenditure will influence the marginal utilities of households. We find out that as a government decides to raise the debt to GDP ratio; it will crowd out both private consumption and government expenditure. Because households will expect to pay more tax in the future, they will decrease their consumption and increase their saving; high debt ratio means government should have paid more interest payment in the future. Also as the ratio of public debt to GDP rises, the social welfare becomes lower. Thus, in our findings, the optimal debt ratio to GDP should be 0. Keywords: DSGE, Government expenditure, Marginal utility, Public debt, GDP, Social welfare