TY - JOUR AU - Victorbabu, Bejjam AU - Prasanthi, Vellanki AU - Rajyalakshmi, Kottapalli PY - 2020/03/20 Y2 - 2024/03/28 TI - An Empirical Study of Second Order Rotatable Designs under Tri-Diagonal Correlated Structure of Errors Using a Pair of Partially Balanced Incomplete Block Type Designs JF - Thailand Statistician JA - Thail. Stat. VL - 18 IS - 2 SE - Articles DO - UR - https://ph02.tci-thaijo.org/index.php/thaistat/article/view/240220 SP - 122-134 AB - <p>In this paper, following the works of Das (1997, 1999 and 2003), Rajyalakshmi and Victorbabu (2014, 2016 and 2018), second order rotatable designs under tri-diagonal correlated structure of errors using a pair of partially balanced incomplete block type designs (PBIBD) is suggested. Here we study the variance function of estimated response for different values of tri-diagonal correlated coefficient (<img title="\rho" src="https://latex.codecogs.com/gif.latex?\rho">) and distance from the center (<img title="\d" src="https://latex.codecogs.com/gif.latex?\d">d) for various factors. This method gives designs with less number of design points than the corresponding second order rotatable designs (SORD) under tri-diagonal correlated structure of errors using pairwise balanced designs (PBD) and balanced incomplete block type designs (BIBD).</p> ER -