消費者在有線電視需求面上扮演關鍵性的角色。所以本文針對消費者在面對有線電視產業時，一個新的分級付費制度或付費頻道及計次付費頻道的願付價格進行探究。本文根據有線電視消費者特性建立願付價格模型，應用全國性抽樣訪查資料，參考Schwer and Daneshvary(1995)願付價格實證作法。另外在資料的模型假設上進行統計檢定，進而估算消費者對有線電視「整體」、「基本頻道」、「付費頻道」、「計次付費頻道」的願付價格。並探討其影響變數。

多數關於願付價格(WTP)之研究中，遺漏資料通常被視為完全隨機遺漏(MCAR)並刪除之。然而，研究中的某些重要變數若具有過高的遺漏比例時，則可能造成分析上的偏誤。 收入在許多條件評估(Contingent Valuation)調查中經常扮演著一個重要的角色，同時其也是受訪者最傾向於遺漏的變項之一。在這份研究中，我們將透過模擬的方式來評估多重插補法(Multiple Imputa- tion) 於插補願付價格調查中之遺漏收入之表現。我們考慮三種資料情況：刪除遺漏資料後所剩餘之完整資料、一次插補資料、以及多重插補資料，針對這三種情況，藉由三要素混合模型(Three-Component Mixture Model)所進行之分析來評估其優劣。模擬結果顯示，多重插補法之分析結果優於僅利用刪除遺漏資料所剩餘之完整資料進行分析之結果，並且隨著遺漏比例上升，其優劣更是明顯。我們也發現多重插補法之結果也比起一次插補來的更加可靠、穩定。因此如果資料遺漏機制非完全隨機遺漏之機制時，我們認為多重插補法是一個值得信任且表現不錯的處理方法。 此外，文中也透過「竹東及朴子地區心臟血管疾病長期追蹤研究」(Cardio Vascular Disease risk FACtor Two-township Study，簡稱CVDFACTS) 之資料來進行實證分析。文中示範一些評估遺漏機制的技巧，包括比較存活曲線以及邏輯斯迴歸。透過實證分析，我們發現插補前後的確造成模型分析及估計上的差異。 / Most often, studies focus on willingness to pay (WTP) simply ignore the missing values and treat them as if they were missing completely at random. It is well-known that such a practice might cause serious bias and lead to incorrect results. Income is one of the most influential variables in CV (contingent valuation) study and is also the variable that respondents most likely fail to respond. In the present study, we evaluate the performance of multiple imputation (MI) on missing income in the analysis of WTP through a series of simulation experiments. Several approaches such as complete-case analysis, single imputation, and MI are considered and com-pared. We show that performance with MI is always better than complete-case analy-sis, especially when the missing rate gets high. We also show that MI is more stable and reliable than single imputation. As an illustration, we use data from Cardio Vascular Disease risk FACtor Two-township Study (CVDFACTS). We demonstrate how to determine the missing mechanism through comparing the survival curves and a logistic regression model fitting. Based on the empirical study, we find that discarding cases with missing in-come can lead to something different from that with multiple imputation. If the dis-carded cases are not missing complete at random, the remaining samples will be biased. That can be a serious problem in CV research. To conclude, MI is a useful method to deal with missing value problems and it should be worthwhile to give it a try in CV studies.

以往對於消費者對基因改造食品偏好及願付價格估計之研究，如 Moon (2001)、Chern et al. (2002)和Fu (2004)，都是將兩個研究目的 分開個別處理，因此就統計的觀點來說，這樣的分析方式是比較缺乏 效率的。 本研究中提出一個整合式的分析方式，來分析台灣消費者對於基 因改造食品的偏好以及願付溢價。本方法除了增進統計效率外，也同 時納入願付價格分析中可能遇到因為受訪者對該財貨有強烈偏好，對 於該財貨有再高價格都願意支付的傾向，因此預期本方法將可提供更 高的準確度。 為了研究台灣民眾對基因改造鮭魚的認知行為，中央研究院調查 研究專題中心在2003 年進行了全台的電話訪問。而本研究發現台灣消 費者願意多付目前平均市價之12%來購買非基因改造飼料餵食之鮭 魚。此外，消費者本身對於基因改造科技的看法、對基因改造科技的 了解、以及消費者的年齡將扮演影響消費偏好以及願付溢價的高低之 重要因素。 / Previous researchers, such as Moon (2001), Chern et al. (2002), and Fu et al. (2004), attempted to analyze consumer preference toward genetically modi¯ed pro- duces and to estimate a willingness to pay for them. These two objectives, however, have been conducted separately and therefore are de¯cient in statistically e±ciency. An integrated technique is introduced to understand how consumers in Taiwan perceive genetically modi¯ed produce as well as how much they are willing to pay a premium simultaneously. Apart from improving statistical e±ciency, this newly proposed method also considers the possibility that consumers might be willing to any price if he/she strongly prefer this goods. Higher precision is expected under this scenario. To investigate how public perceive genetically modi¯ed salmon, Center for Sur- vey Research, Academia Sinica, conducted a telephone survey to Taiwanese con- sumers in 2003. Our study indicates that consumers are willing to pay a premium, about 12% of the average market price, for non-GM-fed salmon rather than GM-fed counter part. Moreover, the way consumers think of the risk regarding GM food, how much they know about GM food, and their age will all in°uence their consump- tion tendency and willingness to pay.

本研究的目的主要是想要探討台灣地區的人民對於基因檢測的意向及願付價格。資料來自於中央研究院所主導的一項電話訪問，其中有關願付價格的部分是透過條件評估法的方式來取得。針對願付價格的分析，我們藉由潛在變數模型將受訪者對於基因檢測的知識、態度和自我認知等資訊萃取出來，並視為新的解釋變數來進行分析。此外，僅完成單界詢價過程的受訪者的資訊也和提供完整回答的受訪者一併納入分析。 結果顯示一個人的性別、教育程度、宗教信仰傾向及對基因檢測的態度會顯著影響是否願意免費參加基因檢測的意願。而在詢價過程中，一開始受訪者被問及的金額和此人其基因檢測相關的知識程度影響了他（她）是否願意付錢參加基因檢測。至於在願意付合理價格的人們之中，他們的健康程度、收入和自家人的癌症病史則皆為影響價格高低的因素。 / This study is aimed to explore people’s intention and their willingness to pay (WTP) for genetic testing in Taiwan. A telephone survey using contingent valuation method (CVM) was conducted by the Academia Sinica to collect the data. There are three unique features that distinguish our data analysis approach from the others. First, the covariates related to a respondent’s knowledge, attitude and perception (KAP) on genetic testing are generated through the use of a latent trait model. Second, the information collected from a respondent who completed only the single-bounded part of the survey is also included in the analysis. Third, reasons given by a respondent is used to decide whether he/she is willing to pay a lower price or unwilling to pay any price. It is shown that one’s gender, education level, religious tendency and attitude all have significant impact on whether a respondent is willing to try a free genetic test. When it comes to pay for it, the initial bid asked and the degrees of knowledge affect his/her decision a lot. For those who are willing to pay a reasonable price for genetic testing, their WTP depend largely on their health conditions, incomes, and cancer histories.

文化公共財無法透過一般市場機制評估其價格，但應如何衡量其經濟價值？本研究以臺北市萬華區糖廍文化園區為案例，以條件評估法為理論模型，並以電話訪問、網路調查及面訪訪問等3種方式獲得1,612份問卷進行分析，結果顯示願付價格會隨著人口統計變量和民眾對文化資產保存的態度而有所不同，得到平均每人每次至少消費文化公共財之願付價格約247元，如以每人平均消費一次計算價值，在95%信賴區間下，臺北市萬華區糖廍公園週邊7里約1,094萬元、臺北市萬華區約4,788萬元、臺北市約6.7億元。在目前政府財政困窘情況下，如何將上開數據轉化成地方財源收入，有效將各古蹟或歷史建築充分活化再利用將是一個值得關注的議題。 / By using the contingent valuation method, this study estimates the value of the Tangbu Cultural Park in Taipei City as the value of cultural public goods cannot be directly observed through the markets. Based on 1,612 samples collected by the phone interview, on-site interview, and internet survey, we explore the factors that influence the willingness to pay (WTP) and estimate the resulting WTP on the cultural public goods. The empirical results show that the WTP are varied with the demographics and attitudes toward the cultural assets and the estimated average individual WTP per year is about 247 NTD. It turns out that the corresponding total WTP per year is 10.94 million NTD in the surrounding area of the Cultural Park, 47.88 million NTD in the Wanhua District of Taipei City, or 670 million NTD in Taipei City. The study can shed some light on the revival plans and budget arrangements of the cultural public goods.

本研究主要目的是想要探討台灣地區民眾對於維持公共電視的營運與發展之願付價格。資料來自於中央研究院人文社會科學研究中心調查研究專題中心所進行的一項公共電視願付價格調查，其中關於願付價格的部分是透過條件評估法的方式取得，受訪者隨機分配至兩個題組之一，其中A題組為考慮公共電視帶給家人的好處，而B題組為考慮公共電視帶給全國民眾及社會的好處。 建模時我們採用一或二要素混成模型，這是一個可以將不理性受訪者分離，僅針對理性受訪者的願付價格進行估計的一個模型。分析結果顯示考慮到公共電視帶給家人的好處時，年齡50歲以上的受訪者中存在著一群無論什麼價格都不願意支付或Ney-sayers的人，估計的比例大約為21.13%；而考慮到公共電視帶給全國民眾及社會的好處時，很少看文化教育節目的受訪者中也存在著一群無論什麼價格都不願意支付或Ney-sayers的人，估計比例大約為13.53%。 針對願意支付合理價格的受訪者配適加速失敗模型時，我們不僅就位置參數引進解釋變數，同時也引進解釋變數至尺度參數。分析結果顯示願意支付合理價格的受訪者，在考慮公共電視帶給家人的好處時，每年願意支付價格之平均值為1477元；而考慮到公共電視帶給全國民眾及社會的好處時，每年願意支付價格之平均值為1663元。顯示受訪者在考慮到全國民眾及社會的好處，願意付出較高的價錢。 / This study aimed to explore people’s willingness to pay (WTP) for maintaining the operation of Public Television Service (PTS) in Taiwan. The survey using contingent valuation method was conducted by the Center for Survey Research, Academia Sinica. The survey sample was split into two groups, A and B. Each group was presented with the same scenario but different scope of benefits. Group A considered the benefits that PTS might bring to one’s family, while Group B considered the benefits that PTS might bring to the whole society. The model used in this study was a one/two-component hybrid model, a model that is able to separate those who are willing to pay a reasonable price from these who are not, and obtain their mean WTP estimate. Multinomial logistic part of the model, indicated that for Group A, among those who were 50 years of age or older, about 24.48% were not willing to pay any price or Ney-sayers. And for Group B, among those who seldom watched cultural or educational programs, about 12.91% were not willing to pay any price or Ney-sayers. Appling accelerated failure time model to those who were willing to pay for reasonable prices enabled us to evaluate the WTP. We not only introduced explanatory variables in the location parameter but also the scale parameter. The estimated mean WTP for Group A was found to be NT$1477 per year, while the mean WTP for Group B was NT$1663 per year.

近年來在運用雙界二分選擇法(double-bounded dichotomous choice elicitation method)來估計受訪者願付價格(willingness to pay)的研究中，不再僅局限於單一非市場財貨的探討。這類型的模型中雖然納入了相關性的考量，但並未考慮財貨的願付價格間可能存在明確的大小關係。再者，針對抗議性樣本，以往的作法多半是丟棄不用，然而這顯然不是理想的作法。本文中，我們將建構一個模型來同時探討這兩項議題。此外我們也利用「竹東及朴子地區心臟血管疾病長期追蹤研究」第五循環中「肥胖之願付價格」的資料來進行實證分析。結果顯示，居住於竹東、有工作、曾以特定活動控制體重的受訪者願意支付較高的金額來參加減肥療程。 / Recent studies on estimating WTP prices in terms of the double-bounded dichotomous choice elicitation method are no longer restricted to the situations that discuss only one non-market good. Although a couple of models have been proposed to take the correlations into consideration when multiple scenarios are presented to the respondents, none of them pay attention to the possibilities that the prices themselves might be inherently ordered. This is one of the issues that need to be addressed. Another is about the protest samples. A common but apparently problematic approach is simply ignoring them completely. In this study, we propose a model that is able to take care of both issues simultaneously. In addition, the model is used to estimate WTP values for data collected in CVDFACTS about two weight loss treatments. The results indicate that respondents residing in Chu-Dong County, employed, and ever tried any weight controlled programs are willing to pay a higher price for the new treatments.

在探討願付價格的條件評估法中一種常被使用的方法為“雙界二分選擇法”，並且一個隱含的假設是，所有研究對象皆願意支付一個合理的金額。然而對於某些商品，有些人也許願意支付任何金額；相對的，有些人可能不願意支付任何金額。分析願付價格時若不考慮這兩類極端反應者，則可能會得到一個偏誤的願付價格。本篇研究中，我們提出一個“混合模型”來處理此議題，其中以多元邏輯斯迴歸模型來描述不同反應者的比例，並以加速失敗時間模型來估計願意支付合理金額者其願付價格的分布。此外，我們以關於治療高血壓新藥之願付價格實例，作為實證分析。 / One commonly used method in contingent valuation (CV) survey for WTP (willingness-to-pay) is the “double-bound dichotomous choice approach” and an implicit assumption is that all study subjects are willing to pay a reasonable price. However, for certain goods, some subjects may be willing to pay any price for them, while some others may be unwilling to pay any price. Without considering these two types of the extreme respondents, a wrongly estimated WTP value will be obtained. We propose a “mixture model” to handle the issues in this study, in which a multinomial logistic model is taken to specify the proportions of different respondents and an accelerated failure time model is utilized to describe the distribution of WTP price for subjects who are willing to pay a reasonable price. In addition, an empirical example on WTP prices for a new hypertension treatment is provided to illustrate the proposed methods.

由於以往在願付價格的研究中，並未考慮到價格再高都願意支付的受訪者，以及價格再低都不願意支付的受訪者，因此可能會造成估計結果的偏差。本文除了沿用Tsai(2005)所建議採用的三要素混合模型，將受訪者區成價格再高都會願意付的人、願意付合理價格的人以及價格再低都不願意付的人等三類受訪者，且將願意付合理價格者的願付價格透過加速失敗模型(accelerated failure time model，簡稱AFT model)來作評估外，進一步就願意付合理價格的人可能會受到起價點的影響或是有「定錨效果」(anchoring effect)產生的問題來作探討，並就CVDFACTS的高血壓之願付價格資料來作實證分析。結果發現教育程度越高、收入越高以及男性對於能降低罹患心臟血管相關疾病新藥的願付價格也越高。此外我們也發現此筆資料確實有起價點偏誤(starting point bias)的情形。 / In the past, studies on willing-to-pay (WTP) usually assume that all the respondents are willing to pay a reasonable price for a non-market good. In reality, some of the respondents might be willing to pay a very high price, while some others unwilling to pay anything. Following Tsai(2005), we adopt a three-component mixture model to take into account these there three types of respondents and modeling those who are willing to pay a reasonable price with an accelerated failure time (AFT) model. In addition, with a slight modification, we also incorporate issues regarding “starting point bias” and “anchoring effect” into the model. An empirical study based on the data collected from “CVDFACTS” shows that males, respondents with higher educational level, and those with higher family income are willing to pay higher prices for a new hypertension treatment. In addition, it is quite likely that “starting point bias” exists in the dataset.

由於社會變遷迅速，文化資產保存工作，無論在有形或無形資產方面均面臨了嚴苛的挑戰。許多為保存歷史建物、遺址、文物或技藝之民間組織或政府文化機構無不極力爭取以獲得必要的經費資源，以防止文化資產的快速流逝。近年來政府對文化資源的投入程度受到廣泛關注，在財政緊縮下，政府削減各項支出中有關文化設施之補助，或限縮地方政府的文化預算，引起各界對文化預算資源配置問題的熱烈討論，導致以經濟觀點衡量文化產出或文化設施之評價日顯重要。在俱歷史性之藝術或文化資源領域，由於其價值無法快速藉由市場價格機制訂出來，衡量文化政策之最適資源投資一直引起激烈爭議，在各部會資源競爭之下，為了獲得足夠的預算分配，政府各部門必須彰顯其對整體經濟效益之貢獻，因此近年來越來越多研究針對非市場財貨之公共投資進行經濟效益評估。調查民眾對文化公共財的願付價格，除可顯示民眾對文化公共財偏好強度以進行成本效益分析外，亦可作為該文化機構自行籌措財源擬訂定價策略之參考，並可提供政府當局財政配置及公共投資之依據，本篇研究將以非市場財貨評估中之條件評估法，以文建會所屬文化機構國立傳統藝術中心為例，求算民眾對該機構之願付價格。 / 實證結果，在估計參數值部份，發現文化資產保存重要性認同度、文化資產遺贈價值認同度、文化資產預算擴編認同度、年齡、文化產業消費頻率等變數，對受訪者的支付意願均有顯著影響；第一階段與第二階段的詢價金額係數估計值為負並且顯著，表示當詢價金額提升時，受訪者會傾向於不願意支付。在單界二元選擇問答下，Logit模型估算其值為181.56元，Probit模型估算其值為199.12元，在95％信心水準下區間估計值Logit模型其值為191.56元到171.56元之間，Probit模型其值為205.90元到192.34元之間；在雙界二元選擇問答下以Bivariabe Probit 估算結果得到第一次詢價的願付價格為145.69元，第二次詢價的願付價格為218.42 元，實證結果單界與雙界二元選擇模型願付價格差異不大。 / Nowadays, historic building, monument, and artifacts, facing difficult issue of damaging, are quickly dying away. Agencies and organizations whose mission is to protect and preserve historic and culturally important building, monument, and artifacts from the ravages of weather, pollution, development, and even use by the general public must compete urgently for needed resources. Government funding of the cultural arts has received considerable attention in recent years. Efforts to cut funding to the national endowment for the culture and declining budgets for public cultural organizations and art institution have raised questions about how much individuals value the culture and arts. Measuring the economic value of particular arts policies or public cultural organizations is difficult and important. The hard case for measuring economic value of cultural resources is that they are not captured readily by market prices. The appropriate resources to be allocated in public cultural or art institutions often get heated and considerable debate. Valuing the willingness to pay for cultural public goods, not only can be applied for measuring economic value to be used in benefit-cost analysis of public project, but also more efficient in the selection of investment program if the total value（use value and non-use value）can be estimated. The purpose of this study is using one of the non-market goods valuation method, contingent valuation method, to elicit a willingness to pay from individual for hypothetical changes in some situation, further more to value the use value and non-use value of the“National Center for Traditional Art ”. / The variables such as the IMPO,BEQU, BUDG, AGE, FRE1, have a significant positive effect on the WTP for a cultural public good valuing. The table broadly indicates that as the bid level is increased, the number of willing to pay the amount decreased. The empirical results show that under the single-bounded dichotomous choice model, the estimated WTP for Logit model is NT$181.56 and for Probit model is NT$199.12. Under the 95％ confidence, for Logit mode the estimated WTP is between NT $191.56 and NT $171.56, and for Probit model is between NT $205.90 and NT $192.34. Under the double-bounded dichotomous choice model, Bivariate Probit model was adopted to estimate the WTP. The first-estimated WTP is NT $145.69, and second-estimated WTP is NT $218.42. The estimated WTP under double bounded dichotomous choice model is not much different from the estimated WTP under single bounded dichotomous choice model.