About: Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers     Goto   Sponge   NotDistinct   Permalink

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  • In variety testing as well as in psychological assessment, the situation occurs that in a two-way ANOVA-type model with only one replication per cell, analysis is done under the assumption of no interaction between the two factors. Tests for this situation are known only for fixed factors and normally distributed outcomes. In the following we will present five additivity tests and apply them to fixed and mixed models and to quantitative as well as to Bernoulli distributed data. We consider their performance via simulation studies with respect to the type-I-risk and power. Furthermore, two new approaches will be presented, one being a modification of Tukey’s test and the other being a new experimental design to test for interactions.
  • In variety testing as well as in psychological assessment, the situation occurs that in a two-way ANOVA-type model with only one replication per cell, analysis is done under the assumption of no interaction between the two factors. Tests for this situation are known only for fixed factors and normally distributed outcomes. In the following we will present five additivity tests and apply them to fixed and mixed models and to quantitative as well as to Bernoulli distributed data. We consider their performance via simulation studies with respect to the type-I-risk and power. Furthermore, two new approaches will be presented, one being a modification of Tukey’s test and the other being a new experimental design to test for interactions. (en)
Title
  • Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers
  • Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers (en)
skos:prefLabel
  • Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers
  • Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers (en)
skos:notation
  • RIV/00027014:_____/09:#0001058!RIV10-MZE-00027014
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MZE0002701403)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 346082
http://linked.open...ai/riv/idVysledku
  • RIV/00027014:_____/09:#0001058
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Additivity tests - Two-way ANOVA without replication - Mixed model - Block design - Rasch model (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [10B9C936B200]
http://linked.open...i/riv/nazevZdroje
  • Statistical Papers
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 50
http://linked.open...iv/tvurceVysledku
  • Šimečková, Marie
  • Šimeček, Petr
  • Rasch, Dieter
http://linked.open...ain/vavai/riv/wos
  • 000270344500018
http://linked.open...n/vavai/riv/zamer
issn
  • 0932-5026
number of pages
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