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<p>Cropping sequence experiments are getting more popularize in the recent era of agriculture. Here, estimation of main effects applied in every season as well as residual effect and their interaction with application in next season are important for consideration. The problem of maintaining homogeneity in application of large number of factors can be handle by considering a fraction of complete factorial effects. Also, a little work based on fractional factorial experiments are available in literature and those designs are computer specific as based on algorithm. This article develops a simple construction method for generation <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\frac{1}{{2}^{k}}{2}^{n}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mfrac> <mn>1</mn> <msup> <mrow> <mn>2</mn> </mrow> <mi>k</mi> </msup> </mfrac> <msup> <mrow> <mn>2</mn> </mrow> <mi>n</mi> </msup> </mrow> </math></EquationSource> </InlineEquation> i.e., factorial with fractional replicates which provides estimation of all main effects and two factor interactions between consecutive factors.</p>

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Construction of Designs for Cropping Sequence Experiments in Fractional Replication

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月6日

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  • Sukanta Dash,
  • Ankit Kumar Singh,
  • Baidya Nath Mandal,
  • Rajender Parsad

摘要

Cropping sequence experiments are getting more popularize in the recent era of agriculture. Here, estimation of main effects applied in every season as well as residual effect and their interaction with application in next season are important for consideration. The problem of maintaining homogeneity in application of large number of factors can be handle by considering a fraction of complete factorial effects. Also, a little work based on fractional factorial experiments are available in literature and those designs are computer specific as based on algorithm. This article develops a simple construction method for generation \(\frac{1}{{2}^{k}}{2}^{n}\) 1 2 k 2 n i.e., factorial with fractional replicates which provides estimation of all main effects and two factor interactions between consecutive factors.