An empirical comparison of several interval estimation procedures for coefficient alpha

Psychometrika ◽  
1975 ◽  
Vol 40 (2) ◽  
pp. 169-181 ◽  
Author(s):  
Tej N. Pandey ◽  
Lawrence Hubert
Keyword(s):  
Interval Estimation ◽  
Coefficient Alpha ◽  
Empirical Comparison ◽  
Estimation Procedures

Sensitivity of Purchasing Power Parity Estimates to Estimation Procedures and their Effect on Living Standards Comparisons

2017 ◽  
Vol 8 (1) ◽  
Author(s):  
Amita Majumder ◽  
Ranjan Ray ◽  
Sattwik Santra
Keyword(s):  
Purchasing Power Parity ◽  
Living Standards ◽  
Purchasing Power ◽  
Power Parity ◽  
Empirical Comparison ◽  
Entire Country ◽  
Estimation Procedures ◽  
The Rich ◽  
Cost Of Living Index ◽  
Purchasing Power Parities

AbstractThe motivation of this exercise is to compare the Purchasing Power Parities (PPPs) calculated using different procedures and study the sensitivity of global rankings of regions based on living standards to the PPPs used. The empirical comparison involves the GEKS, weighted CPD, GK, EWGK and the True Cost of Living Index (TCLI) based PPP estimation procedures with the Indian Rupee used as the numeraire currency. The published ICP PPPs for 2011 are used as benchmark for the non ICP PPPs obtained in this study. Evidence confirming the “Gershenkeron effect,” that affects the additive GK procedure, is provided. The results suggest that the EWGK PPPs, which are also additive, do not suffer from the extent of bias of the GK PPPs. The paper also provides evidence on the large variation in the TCLI based PPPs across expenditure quintiles originating from variation in preferences between expenditure classes. This suggests departure from the current ICP practice of providing one PPP for the entire country and points to the need to estimate PPPs by different expenditure classes. The empirical evidence points to the rich potential for the rarely used TCLI in future PPP calculations.

scholarly journals Distribution-free confidence intervals for measurement of effective bandwidth

2000 ◽  
Vol 37 (1) ◽  
pp. 224-235 ◽  
Author(s):  
László Györfi ◽  
András Rácz ◽  
Ken Duffy ◽  
John T. Lewis ◽  
Fergal Toomey
Keyword(s):  
Confidence Intervals ◽  
Interval Estimation ◽  
Effective Bandwidth ◽  
Distribution Free ◽  
Peak Rate ◽  
Estimation Procedures ◽  
Hoeffding’S Inequality ◽  
Traffic Source

Hoeffding's inequality can be used in conjunction with the declared parameters of a traffic source, such as its peak rate, to obtain confidence intervals for measurements of the traffic's effective bandwidth. We describe a variety of interval-estimation procedures based on this idea, designed to provide differing degrees of robustness against non-stationarity. We also discuss how to compute confidence intervals for the effective bandwidth of an aggregate of traffic sources.

Interval Estimation for True Raw and Scale Scores Under the Binomial Error Model

2006 ◽  
Vol 31 (3) ◽  
pp. 261-281 ◽  
Author(s):  
Won-Chan Lee ◽  
Robert L. Brennan ◽  
Michael J. Kolen
Keyword(s):  
Confidence Intervals ◽  
Scale Score ◽  
Normal Approximation ◽  
Interval Estimation ◽  
Correct Score ◽  
True Number ◽  
Coverage Probabilities ◽  
Estimation Procedures ◽  
Scale Scores ◽  
Practical Guidelines

Assuming errors of measurement are distributed binomially, this article reviews various procedures for constructing an interval for an individual’s true number-correct score; presents two general interval estimation procedures for an individual’s true scale score (i.e., normal approximation and endpoints conversion methods); compares various interval estimation procedures through a computer simulation study; and provides some practical guidelines for use of the interval estimation procedures. To examine the effects of different types of scale scores, three nonlinearly transformed scale scores are employed. The conditional confidence intervals using conditional standard errors of measurement are recommended over the traditional confidence intervals using the overall standard error of measurement. For raw scores, the score confidence intervals, in general, tend to provide actual coverage probabilities that are closest to the nominal level. Results for scale score intervals seem to favor the endpoints conversion method using the true-score conversions over the normal approximation approach.

scholarly journals Reliability of Scales With Second-Order Structure: Evaluation of Coefficient Alpha’s Population Slippage Using Latent Variable Modeling

2017 ◽  
Vol 78 (6) ◽  
pp. 1123-1135
Author(s):  
Tenko Raykov ◽  
Philippe Goldammer ◽  
George A. Marcoulides ◽  
Tatyana Li ◽  
Natalja Menold
Keyword(s):  
Latent Variable ◽  
Complex Structure ◽  
Interval Estimation ◽  
Psychological Research ◽  
Second Order ◽  
Coefficient Alpha ◽  
Latent Variable Modeling ◽  
Order Structure ◽  
Measuring Instruments ◽  
Structure Evaluation

A readily applicable procedure is discussed that allows evaluation of the discrepancy between the popular coefficient alpha and the reliability coefficient of a scale with second-order factorial structure that is frequently of relevance in empirical educational and psychological research. The approach is developed within the framework of the widely used latent variable modeling methodology and permits point and interval estimation of the slippage of alpha from scale reliability in a population under investigation. The method is useful when examining the consistency of complex structure measuring instruments assessing higher order latent constructs and, under its assumptions, represents a generally recommendable alternative to coefficient alpha. The outlined procedure is illustrated using data from an authoritarianism study.

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