Analysis of Mixed Effects Model for Randomized Block Designs with Both-sided Neighbor-Effects

Sobita  Sapam; Bikas Kumar  Sinha

doi:10.3329/ijss.v23i2.70128

Analysis of Mixed Effects Model for Randomized Block Designs with Both-sided Neighbor-Effects

Authors

Sobita Sapam Department of Statistics, Manipur University, Canchipur, Manipur, India
Bikas Kumar Sinha Indian Statistical Institute, (Retired Professor), Kolkata, West Bengal, India

DOI:

https://doi.org/10.3329/ijss.v23i2.70128

Keywords:

Random block effects, variance components, left- and right-neighbor effects, treatment contrasts

Abstract

In this study we confine our attention to Randomized Block Designs (RBDs) with random block effects in the presence of both-sided neighbor-effects and focus our attention to (i) estimation of variance components, and (ii) estimation of treatment contrasts as well as both left-sided and right sided neighbor-effects contrasts. We start with a simple set-up of 4 blocks and 4 treatments in an RBD. This we do by concurrently studying three distinct RBDs with the same parameters. However, the allocations of Left Neighbor (LN)- and Right Neighbor (RN)-Effects are assumed to be different across the RBDs.

International Journal of Statistical Sciences, Vol. 23(2), November, 2023, pp 19-30

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Published

2023-11-30

How to Cite

Sapam, S. ., & Sinha, B. K. . (2023). Analysis of Mixed Effects Model for Randomized Block Designs with Both-sided Neighbor-Effects. International Journal of Statistical Sciences, 23(2), 19–30. https://doi.org/10.3329/ijss.v23i2.70128