T1 Scaling a Mathematical Programming Approach to Thurstonian Scaling
T1 Scaling a Mathematical Programming Approach to Thurstonian Scaling
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15 -. 25 -. 55 - -. 35 e . 20 . 1 . 05 . 35 . 01 . 04 -. 04 21 -. 14 TABLE II. 1 Matrix X' for the contrived five- stimulus example of Figure II. 2.
16 with the determination of scale estimates leading to a perfect fit between P" and P'. Including the inconsistency produces the distorted scale estimates shown in Figure II. 3. Only the scale estimates for stimuli a and c are different from the true underlying values; stimuli b, d, and have the same relative positions as in the actual configurati...on. Because X' is a skew symmetric matrix fx' = -•/. ' ) and the only columns affected by ac ca the presence of mtransi tiv i ty are those for a and c; the estimated scale values differ from the actual values by the same amount in opposite direcitons. As shown in Figure II. 3, the scale estimate for stimulus c is . 05 units greater than its actual value; for a, it is . 05 units less.
i "T^ bjc' 9 M^ JL true c true a FIGURE II. 3 Thurstonian scale estimates for the five-stimulus example compared to the true values for stimuli a and c.
What to read after T1 Scaling a Mathematical Programming Approach to Thurstonian Scaling?
You can find similar books in the "Read Also" column, or choose other free books by James M Lattin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
15 -. 25 -. 55 - -. 35 e . 20 . 1 . 05 . 35 . 01 . 04 -. 04 21 -. 14 TABLE II. 1 Matrix X' for the contrived five- stimulus example of Figure II. 2.
16 with the determination of scale estimates leading to a perfect fit between P" and P'. Including the inconsistency produces the distorted scale estimates shown in Figure II. 3. Only the scale estimates for stimuli a and c are different from the true underlying values; stimuli b, d, and have the same relative positions as in the actual configurati...on. Because X' is a skew symmetric matrix fx' = -•/. ' ) and the only columns affected by ac ca the presence of mtransi tiv i ty are those for a and c; the estimated scale values differ from the actual values by the same amount in opposite direcitons. As shown in Figure II. 3, the scale estimate for stimulus c is . 05 units greater than its actual value; for a, it is . 05 units less.
i "T^ bjc' 9 M^ JL true c true a FIGURE II. 3 Thurstonian scale estimates for the five-stimulus example compared to the true values for stimuli a and c.
What to read after T1 Scaling a Mathematical Programming Approach to Thurstonian Scaling?
You can find similar books in the "Read Also" column, or choose other free books by James M Lattin to read onlineMoreLess
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