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Connectedness of complete block designs under an interference model

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Abstract

We consider an experiment with fixed number of blocks, in which a response to a treatment can be affected by treatments from neighboring units. For such experiment the interference model with neighbor effects is studied. Under this model we study connectedness of binary complete block designs. Assuming the circular interference model with left-neighbor effects we give the condition for minimal number of blocks necessary to obtain connected design. For a specified class of binary, complete block designs, we show that all designs are connected. Further we present the sufficient and necessary conditions of connectedness of designs with arbitrary, fixed number of blocks.

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Authors and Affiliations

  1. Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, Wojska Polskiego 28, 60-637, Poznań, Poland

    Katarzyna Filipiak

  2. Institute of Management, The State Vocational School of Higher Education, Teatralna 25, 66-400, Gorzów Wlkp., Poland

    Rafał Różański

Authors
  1. Katarzyna Filipiak
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  2. Rafał Różański
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Correspondence to Katarzyna Filipiak.

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Filipiak, K., Różański, R. Connectedness of complete block designs under an interference model. Stat Papers 50, 779–787 (2009). https://doi.org/10.1007/s00362-009-0247-3

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  • DOI: https://doi.org/10.1007/s00362-009-0247-3

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