ASSLUMPTIONS IN EXPERIMENTAL DESIGNS A STATISTICAL STUDY
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Date
2000
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Professor Jayashankar Telangana State Agricultural University
Abstract
Thepresentstudywasaimedatcheckingofassumptionsin‘~\NO\’_-\by residual analysis with the help ofactual experimental replicatiou wise data Residual analysis is a powerful tool to detect the problems associated with the violation ofthe ANOV'A assumptions Ifthe data violates the aSSumptions of ANOVA. significance levels and the sensnit'ity of the F test may be biased Furthermore. this may lead to draii incorrect concluSions from the analysis Therefore. checking data for the \‘lOlaIlOn ofthe ANOVA assumptions before discussingtheresultsisverycritical ThedataforthepreSentstudywerecollected from All India Coordinated Agronomic Research Project on Cropping SySIeiits (AJCARP) located at Raiendranagar Hyderabad fortheexperimentsconducted at three research stations namely Ratendranagar. Maruteru and Rtidnir ofAcharya NG RangaAgriculturalUniversity The results indicated that the Analysis of Variance model forExperimentsvizvII,III.IVandVsatisfiedhomogeneityofyariances.normalityand independenceoferroreffects. Kolmogoroy-Smirnov tests. Thesaid assumptions were satisfied after effecting logarithmic transformation in Experiment 1 during A'lmrlfseasonat Rudrur. Out offiVEexperimentsverifiedonlythree Experiments yizwll. Ill and V satisfied the propertyofaddittvity during bothlr/mn/andmm seasons at Rudrut‘ and Mainteru. Rajendranagar and Maruteru and RaJeitdranagar researchstationsrespectively However.thepropettyofadditi\'itywassatisfiedin only one season each at Rudt‘ur (Experiment I) Maruteru (Experiment IV) and Mamteru(ExperimentV)duringrain.summerandMia/ffseasonsrespectively ThepropertyofadditiyitywassatisfiedinExperimentIduringlt/mri/season at Rudrur. Experiment lllduringHim-ifand ml); seasons at Ruclrurand Experiment V duringm/n’ at Maruteru after effecting logarithmic transformation. squareroottransformation and li’logxtransformationrespectively Experiment [I during[dun-ifandrub?seasonsat Raiendranagareven after ”logK IranSfOImHNO“ didnotsatisfytheadditivityproperty
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D6115