tailieunhanh - Engineering Statistics Handbook Episode 9 Part 13

Tham khảo tài liệu 'engineering statistics handbook episode 9 part 13', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | . 1-Way ANOVA overview ENGINEERING STATISTICS HANDBOOK hW tools raids lỉEÂtCH BACK Nixf 7. Product and Process Comparisons . Comparisons based on data from more than two processes . Are the means equal ANOVA overview Overview and principles This section gives an overview of the one-way ANOVA. First we explain the principles involved in the 1-way ANOVA. Partition response into components In an analysis of variance the variation in the response measurements is partitoned into components that correspond to different sources of variation. The goal in this procedure is to split the total variation in the data into a portion due to random error and portions due to changes in the values of the independent variable s . Variance of n measurements The variance of n measurements is given by _ SĨU1 - ỹ 2 n 1 where y is the mean of the n measurements. Sums of squares and degrees of freedom The numerator part is called the sum of squares of deviations from the mean and the denominator is called the degrees of freedom. The variance after some algebra can be rewritten as M w 2 ỈK s2 jrl Ud 1 n -1 The first term in the numerator is called the raw sum of squares and the second term is called the correction term for the mean . Another name for the numerator is the corrected sum of squares and this is usually abbreviated by Total SS or SS Total . http div898 handbook prc section4 1 of 2 5 1 2006 10 38 54 AM The ss in a 1-way ANOVA can be split into two components called the sum of squares of treatments and sum of squares of error abbreviated as SST and SSE respectively. The guiding principle behind ANO VA is the decomposition of the sums of squares or Total ss Algebraically this is expressed by . The 1-way ANOVA model and assumptions SEMMECH MOME rTOOLS IM SEARCH BACK NEXT http div898 handbook prc section4 2 of 2 5 1 2006 10 38 55 AM