Statistical Methods for Psychology

Appendix Polynomial: Orthogonal Polynomial Coefficients 703

Appendix Polynomial: Orthogonal

Polynomial Coefficients

k Polynomial X 512345678910 a^2 i

3 Linear 2101 2

Quadratic 1 221 6

4 Linear 23 2113 20

Quadratic 1 21 211 4

Cubic 213231 20

5 Linear 22 21012 10

Quadratic 2 21 22 212 14

Cubic 2120221 10

Quartic 1 246241 70

6 Linear 25 23 21135 70

Quadratic 5 21 24 24 215 84

Cubic 257424 27 5 180

Quartic 1 2322231 28

7 Linear 23 22 2102123 28

Quadratic 5 0 23 24 2305 84

Cubic 2 1 1101 211 6

Quartic 3 2716127 3 154

8 Linear 27 25 23 211357 168

Quadratic 7 1 23 25 25 2317 168

Cubic 2 7 573 23 27 25 7 264

Quartic 7 213 239923 213 7 616

Quintic 2723217 215 15 17 223 7 2184

9 Linear 24 23 22 2101234 60

Quadratic 28 7 28 217 220 217 28 7 28 2772

Cubic 2 14 71390 29 213 27 14 990

Quartic 14 221 211 9 18 9 211 221 14 2002

Quintic 241124 29094211 4 468

10 Linear 29 27 25 23 2 113579 330
Quadratic 6 2 21 23 24 24 23 21 2 6 132
Cubic 242 14 35 31 12 212 231 235 214 42 8580
Quartic 18 222 2 17 31818 3 217 222 18 2860
Quintic 261421 211 26 6 11 1 214 6 780

g

Source: The entries in this table were computed by the author.