ANALYSIS OF TREND: A PERMUTATION ALTERNATIVE TO THE F TEST

被引:7
作者
Berry, Kenneth J. [1 ]
Johnston, Janis E. [1 ]
Mielke, Paul W., Jr. [1 ]
机构
[1] Colorado State Univ, Dept Sociol, Ft Collins, CO 80523 USA
关键词
ORTHOGONAL POLYNOMIALS; CONFIDENCE-INTERVALS; VARIANCE TEST; VALUES;
D O I
10.2466/03.PMS.112.1.247-257
中图分类号
B84 [心理学];
学科分类号
04 ; 0402 ;
摘要
When the categories of the independent variable in an analysis of variance are quantitative, it is more informative to evaluate the trends in the treatment means than to simply compare differences among the treatment means. A permutation alternative to the conventional F test is shown to possess significant advantages when analyzing trend among quantitative treatments in a one-way analysis of variance. An example with and without an extreme data point illustrates the effectiveness of the permutation alternative for the analysis of trend when homogeneity of variance is compromised.
引用
收藏
页码:247 / 257
页数:11
相关论文
共 58 条
[1]   Confidence intervals for an effect size measure in multiple linear regression [J].
Algina, James ;
Keselman, H. J. ;
Penfield, Randall D. .
EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 2007, 67 (02) :207-218
[2]   Confidence Intervals for Squared Semipartial Correlation Coefficients: The Effect of Nonnormality [J].
Algina, James ;
Keselman, H. J. ;
Penfield, Randall D. .
EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 2010, 70 (06) :926-940
[3]  
ANDERSON RL, 1942, IOWA AGR EXPT STATIO, V297
[4]  
[Anonymous], 2010, STAT METHODS PSYCHOL
[5]  
[Anonymous], 1977, Nonparametric and distribution-free methods for the social sciences
[6]  
[Anonymous], 1981, Statistical analysis in psychology and education
[7]  
[Anonymous], 1997, Multiple Regression in Behavioral Research: Explanation and Prediction
[8]  
[Anonymous], 2007, Randomization tests
[9]  
[Anonymous], 1925, STAT METHODS RES WOR
[10]  
[Anonymous], 1962, STAT PRINCIPLES EXPT