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Related Concept Videos

Ordinal Level of Measurement00:55

Ordinal Level of Measurement

The way a set of data is measured is called its level of measurement. Correct statistical procedures depend on a researcher being familiar with levels of measurement. For analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
Data measured using an ordinal scale are similar to nominal scale data, but there is one major difference. The ordinal scale data can be ordered. An example of ordinal scale data is a list of the top five national parks in the...
Ranks01:02

Ranks

Unlike parametric methods, nonparametric statistics are ideal for nominal and ordinal data, requiring fewer assumptions about the population's nature or distribution. This makes nonparametric methods easier to apply and interpret, as they do not depend on parameters like mean or standard deviation. One common approach in nonparametric analysis is to sort data according to a specific criterion. For instance, we might arrange weather data from hottest to coldest days in a month or rank cities...
Ratio Level of Measurement00:54

Ratio Level of Measurement

The way a set of data is measured is called its level of measurement. Correct statistical procedures depend on a researcher being familiar with levels of measurement. For analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
A set of data measured using the ratio scale takes care of the ratio problem and provides complete information. Ratio scale data are like interval scale data, except they have a zero point and ratios can be calculated. For...
Friedman Two-way Analysis of Variance by Ranks01:21

Friedman Two-way Analysis of Variance by Ranks

Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures from...
Measures of Central Tendency02:16

Measures of Central Tendency

The "center" of a data set is also a way of describing location. The two most widely used measures of the "center" of the data are the mean (average) and the median. The words "mean" and "average" are often used interchangeably. The substitution of one word for the other is common practice. The technical term is "arithmetic mean" and "average" is technically a center location. However, in practice among non-statisticians, "average" is commonly accepted for "arithmetic mean."
Nominal Level of Measurement00:56

Nominal Level of Measurement

The way a set of data is measured is called its level of measurement. Correct statistical procedures depend on a researcher being familiar with levels of measurement. Not every statistical operation can be used with every set of data. For analysis, data are classified into four levels of measurement—nominal, ordinal, interval, and ratio.
The data that cannot be measured but can be grouped into categories fall under the nominal level of measurement. Data that is measured using a nominal scale is...

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A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

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Published on: March 1, 2022

Common scale valuations across different preference-based measures: estimation using rank data.

Mónica Hernández Alava1, John Brazier1, Donna Rowen1

  • 1School of Health and Related Research (MHA, JB, DR, AT) University of Sheffield, Sheffield, UK

Medical Decision Making : an International Journal of the Society for Medical Decision Making
|March 12, 2013
PubMed
Summary
This summary is machine-generated.

A new econometric model allows for consistent comparison of preference-based measures (PBMs) for quality-adjusted life years (QALYs). This approach overcomes limitations of standard models, yielding more reliable utility values across different health state valuation systems.

Keywords:
normal error component logit-mixturepreference-based mappingquality of liferank-ordered mixed logit model

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Measuring the Subjective Value of Risky and Ambiguous Options using Experimental Economics and Functional MRI Methods
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Area of Science:

  • Health Economics
  • Psychometrics
  • Econometrics

Background:

  • Preference-based measures (PBMs) estimate quality-adjusted life years (QALYs) but yield varying utility values due to different methodologies.
  • Existing studies compare pairs of PBMs using patient data, lacking a unified approach for multiple PBMs on a common scale.

Purpose of the Study:

  • To develop a novel econometric model for comparing various PBMs on a common scale.
  • To address limitations of standard rank-ordered logit models in analyzing health state preference data.

Main Methods:

  • Analysis of general public survey data (n=501) where respondents ranked health states from 6 PBMs.
  • Development of a mixed logit model to overcome independence of irrelevant alternatives and repeated observations issues.

Main Results:

  • Substantial differences in estimated parameters (mean difference 0.07) and health state value orderings between the standard and new models.
  • The proposed model yields more consistent results for health state values compared to the standard model.
  • Limitations include a small sample size and limited health state coverage.

Conclusions:

  • The developed flexible econometric model appropriately handles rank data features.
  • Standard models are inappropriate for this data, producing inconsistent results.
  • The new approach enables PBM comparison on a common scale.