Regression model development for showing relation between mechanical yarn stretch (%) in sizing and Warp yarn breakage (cmpx) in looms using ANOVA model

Abstract

Abstract

Mechanical yarn stretch (%) in sizing process is amongst one of the process control parameters affecting warp yarn breakages in looms. For assessing the level of significance of the treatment factor on the response, ANOVA analysis including analysis of sum of squares, degree of freedoms and mean square analysis is done. Experimentation is done in Bahir Dar textile sh. Company weaving mill using cotton yarn of 20_s used for making of 24*24/20*20 fabric particulars or bed sheet article. The 4 different weavers’ beams prepared using the stated yarns are prepared in 4 different mechanical yarn stretch percentages but having same size pick-up, concentration and moisture content percentages and made to be run on the loom at the same speed of 500RPM. A single factor experiment with 4 levels of the factor and 3 replicates, i.e 12 runs has been made. Using significance level of α = 0.05, the experimentation shows mechanical yarn stretch % in sizing process significantly affects the warp yarn breakages (warp cmpx) in looms, so process optimization and linear regression model development has been conducted. Thus, the two unknown coefficients β_o& β₁ have been calculated to be -1.6092 & 4.21689, and the linear regression model is computed as; y = -1.6092+4.2169X₁

 

Key words: Mechanical yarn stretch%, Warp yarn cmpx, Cotton yarn of 20_s, ANOVA analysis, linear regression model.