Power-Transformation for Ordered Categorical Data

Goto, Masashi; Inoue, Toshiaki; Tsuchiya, Yoshihide

doi:10.2333/bhmk.13.19_17

Cited by 7 publications

(8 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This cumulative distribution function is derived from the asymmetric power transformation: which is an analogy of the power-transformation proposed by Box and Cox (26) not to ps, but to the ratio 1/( 1 -p,). The asymmetric power transformation coincides with the logistic transformation for h = 1 and with complementary log-log transformation if h = 0 (21). The shape of the cumulative distribution function for the APT model is shown in Figure 3.…”

Section: Asymmetric Power Transformation and Log-gamma Modelsmentioning

confidence: 54%

Statistical Approaches to Detecting Dose-Response Relationships

et al. 2000

Self Cite

View full text Add to dashboard Cite

A dose-response study, which is performed to determine whether or rwt there is any effect of a new drug related to dose, plays a very important role in the clinical development of a drug. Finding evidence of the dose-response relationship is usually done based on hypothesis testing, which has been considered an appropriate way to analyze a doseresponse study. Hypothesis testing does nor provide information about certain structures of the dose-response relationship, especially the shape and location of the dose-response curve, though the information is most helpful in determining the clinical dose of a drug.In this papel: the model-based approach with data-adaptive distribution is introduced to infer the dose-response relationship. We also introduce the statistical descriptive use of the empirical cumulative distribution function, Furthermore, methods to compare two dose-response curves are considered.

show abstract

Section: Asymmetric Power Transformation and Log-gamma Modelsmentioning

confidence: 54%

Statistical Approaches to Detecting Dose-Response Relationships

et al. 2000

Self Cite

View full text Add to dashboard Cite

show abstract

“…where qis = 1/(1 pis) (ArandaOrdaz, 1981;Goto et al, 1986). Then, TA(pis) coincides with a logit transformation for A = 1 and with a complementary log-log transformation if A = 0.…”

Section: Definitionmentioning

confidence: 97%

“…The symmet ric powertransformation (SPT) model contains the logit model, and the asymmetric powertransformation (APT) model includes the logit and complementary log-log trans formation models. Goto, Inoue and Tsuchiya (1986) discussed the extensions of the APT model to responses with ordered multicategories. Guerrero and Johnson (1982) suggested a one parameter Box and Cox powertransformation to the odds, which con tains logit transformation.…”

Section: Introductionmentioning

confidence: 99%

Diagnostic Methods in the Apt Model for Ordered Categorical Data

Hamasaki

Goto²

2003

Bulletin of Informatics and Cybernetics

Self Cite

View full text Add to dashboard Cite

We describe diagnostic methods for assessing the influence of a single outlier or individual case on the estimates of the asymmetric power transformation (APT) model for ordered categorical response. The APT model includes a wide range of the probability curves of the response including both of symmetric and asymmetric curves. We also discuss methods for assessing the influence of covariate selection. Furthermore, we mention methods for assessing the appropriateness of combing the categories of the response. Two examples are used to illustrate the proposed method.

show abstract

“…For this situation, a logistic model is a powerful tool to analyze this type of data. Here we discuss the data-adaptive model, that is, the asymmetric power-transformation model (APT model), proposed by Goto et al (1986). This model can estimate the shape of the doseresponse relationship (curve) with one extra-parameter, and it consists of the logistic and the complementary log-log models as a special case.…”

Section: Concept Of the Ich-e5 "Bridging": Extrapolation Vs Analogymentioning

confidence: 99%

“…Even if the stage is late and we have enough knowledge of the dose-response relationship, we should examine whether or not the assumed model is appropriate. In this situation, the model-based approach with data-adaptive distribution, Statistical Issues in the Drug Evaluation Process such as the power-normal distribution (Goto et al, 1983;Goto et al ., 1986) and the gamma distribution (Prentice, 1974;Goto et al, 1986), may be recommended . This model can be very suitable for pursing the four questions by Ruberg (1995aRuberg ( , 1995b.…”

Section: Statistical Issues In the Drug Evaluation Processmentioning

confidence: 99%

2. Clinical and Medical Evaluation Process

Isomura

Hamasaki

Goto

2003

Journal of the Japanese Society of Computational Statistics

Self Cite

View full text Add to dashboard Cite

The International Conference on Harmonization (ICH) has recently developed the ICH guidelines, which are the common guidelines for regulatory requirements in the ICH regions, i.e. Japan, and the United States (US) and Europe. The guidelines have been implemented in the three regions, and the people involved in drug evaluation in the pharmaceutical industry, such as statisticians and pharmaceutical scientists, have referred the guidelines to their daily work when they perform the drug evaluation process. This paper aims to discuss some statistical issues in the drug evaluation process that are commonly encountered when applying the ICH guidelines. It also provides a few practical ideas for the future drug evaluation process. In this paper the emphasis is placed on the following ICH guidelines: "Dose-Response Information to Support Drug Registration" (ICH-E4), "Ethnic Factors in the Acceptability of Foreign Clinical Data" (ICH-E5) and "Choice of Control Group in Clinical Trials" (ICH-E10).

show abstract

Power-Transformation for Ordered Categorical Data

Cited by 7 publications

References 15 publications

Statistical Approaches to Detecting Dose-Response Relationships

Statistical Approaches to Detecting Dose-Response Relationships

Diagnostic Methods in the Apt Model for Ordered Categorical Data

2. Clinical and Medical Evaluation Process

Contact Info

Product

Resources

About