A Statistical Analysis of Fuzzy Balanced Incomplete Block Designs with Intra-Block Analysis using Trapezoidal Method
K. Gnanapriya1, S. Kavitha2, M. Pachamuthu3

1K. Gnanapriya*, Research Scholar, Department of Statistics, Periyar University,Salem, TN, India.
2S. Kavitha, Assistant Professor, Department of Statistics, Periyar University, Salem, TN, India.
3M. Pachamuthu, Assistant Professor, Department of Statistics, Periyar University, Salem, TN, India.
Manuscript received on February 10, 2020. | Revised Manuscript received on February 20, 2020. | Manuscript published on March 30, 2020. | PP: 1739-1747 | Volume-8 Issue-6, March 2020. | Retrieval Number: F7903038620/2020©BEIESP | DOI: 10.35940/ijrte.F7903.038620

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Abstract: The Balanced Incomplete Block Designs (BIBD) plays a major role in the design of experiments, particularly in agricultural experiments. In an intra-block analysis of BIBD, the practical situations are not measurable the exact observations due to a shortage of experimental apparatus or facilities and the physical size of the block. In such circumstances, the analyses of fuzzy observations are used. In this research work, a statistical analysis of BIBD with intra-block analysis through   cut interval method of trapezoidal fuzzy observations is taken for study. A numerical example is provided by the primary data to show the preciseness of the yield of cotton crop seeds.
Keywords: Analysis of Variance, Balanced Incomplete Block Designs, Decision Rule, Trapezoidal Fuzzy Numbers,  -Cut Method.
Scope of the Article: Predictive Analysis.