Sample Size Simulation Original Paper
Fixed α = 0.25
Scatter Plots: Standard Deviation, Length of 90%HPD, Length of 95% HPD
Tables:
θ=0.2
n |
θ |
Mean SD |
Length of 90% HPD |
Length of 95% HPD |
6 |
0.2 |
0.2507 |
0.7554 |
0.8313 |
8 |
0.2 |
0.2462 |
0.7422 |
0.8206 |
10 |
0.2 |
0.2423 |
0.7310 |
0.8111 |
12 |
0.2 |
0.2387 |
0.7209 |
0.8023 |
14 |
0.2 |
0.2360 |
0.7138 |
0.7961 |
16 |
0.2 |
0.2333 |
0.7063 |
0.7898 |
18 |
0.2 |
0.2313 |
0.7007 |
0.7851 |
20 |
0.2 |
0.2287 |
0.6927 |
0.7779 |
22 |
0.2 |
0.2271 |
0.6887 |
0.7747 |
24 |
0.2 |
0.2254 |
0.6841 |
0.7704 |
26 |
0.2 |
0.2235 |
0.6786 |
0.7655 |
28 |
0.2 |
0.2219 |
0.6748 |
0.7621 |
30 |
0.2 |
0.2204 |
0.6700 |
0.7579 |
32 |
0.2 |
0.2191 |
0.6671 |
0.7552 |
34 |
0.2 |
0.2179 |
0.6640 |
0.7524 |
36 |
0.2 |
0.2168 |
0.6603 |
0.7492 |
38 |
0.2 |
0.2156 |
0.6565 |
0.7461 |
40 |
0.2 |
0.2140 |
0.6513 |
0.7414 |
θ=0.25
n |
θ |
Mean SD |
Length of 90% HPD |
Length of 95% HPD |
6 |
0.25 |
0.2479 |
0.7471 |
0.8236 |
8 |
0.25 |
0.2422 |
0.7304 |
0.8097 |
10 |
0.25 |
0.2382 |
0.7196 |
0.8002 |
12 |
0.25 |
0.2354 |
0.7119 |
0.7946 |
14 |
0.25 |
0.2316 |
0.7014 |
0.7849 |
16 |
0.25 |
0.2289 |
0.6940 |
0.7784 |
18 |
0.25 |
0.2264 |
0.6867 |
0.7723 |
20 |
0.25 |
0.2242 |
0.6810 |
0.7670 |
22 |
0.25 |
0.2224 |
0.6765 |
0.7633 |
24 |
0.25 |
0.2202 |
0.6697 |
0.7570 |
26 |
0.25 |
0.2181 |
0.6633 |
0.7512 |
28 |
0.25 |
0.2167 |
0.6596 |
0.7485 |
30 |
0.25 |
0.2154 |
0.6555 |
0.7446 |
32 |
0.25 |
0.2137 |
0.6501 |
0.7398 |
34 |
0.25 |
0.2121 |
0.6463 |
0.7358 |
36 |
0.25 |
0.2109 |
0.6422 |
0.7327 |
38 |
0.25 |
0.2100 |
0.6390 |
0.7300 |
40 |
0.25 |
0.2087 |
0.6359 |
0.7266 |
θ=0.3
n |
θ |
Mean SD |
Length of 90% HPD |
Length of 95% HPD |
6 |
0.3 |
0.2453 |
0.7386 |
0.8161 |
8 |
0.3 |
0.2399 |
0.7238 |
0.8040 |
10 |
0.3 |
0.2351 |
0.7111 |
0.7925 |
12 |
0.3 |
0.2309 |
0.6985 |
0.7818 |
14 |
0.3 |
0.2281 |
0.6913 |
0.7755 |
16 |
0.3 |
0.2248 |
0.6821 |
0.7678 |
18 |
0.3 |
0.2221 |
0.6748 |
0.7608 |
20 |
0.3 |
0.2197 |
0.6673 |
0.7546 |
22 |
0.3 |
0.2176 |
0.6624 |
0.7500 |
24 |
0.3 |
0.2153 |
0.6557 |
0.7439 |
26 |
0.3 |
0.2136 |
0.6505 |
0.7395 |
28 |
0.3 |
0.2119 |
0.6455 |
0.7352 |
30 |
0.3 |
0.2102 |
0.6410 |
0.7313 |
32 |
0.3 |
0.2085 |
0.6350 |
0.7257 |
34 |
0.3 |
0.2072 |
0.6313 |
0.7221 |
36 |
0.3 |
0.2057 |
0.6262 |
0.7176 |
38 |
0.3 |
0.2050 |
0.6240 |
0.7162 |
40 |
0.3 |
0.2036 |
0.6200 |
0.7123 |
θ=0.4
n |
θ |
Mean SD |
Length of 90% HPD |
Length of 95% HPD |
6 |
0.4 |
0.2404 |
0.7242 |
0.8027 |
8 |
0.4 |
0.2338 |
0.7055 |
0.7871 |
10 |
0.4 |
0.2284 |
0.6906 |
0.7737 |
12 |
0.4 |
0.2243 |
0.6801 |
0.7648 |
14 |
0.4 |
0.2202 |
0.6685 |
0.7543 |
16 |
0.4 |
0.2171 |
0.6600 |
0.7471 |
18 |
0.4 |
0.2144 |
0.6525 |
0.7407 |
20 |
0.4 |
0.2113 |
0.6432 |
0.7322 |
22 |
0.4 |
0.2091 |
0.6365 |
0.7267 |
24 |
0.4 |
0.2073 |
0.6309 |
0.7216 |
26 |
0.4 |
0.2045 |
0.6227 |
0.7142 |
28 |
0.4 |
0.2026 |
0.6166 |
0.7085 |
30 |
0.4 |
0.2009 |
0.6113 |
0.7038 |
32 |
0.4 |
0.1997 |
0.6066 |
0.7002 |
34 |
0.4 |
0.1981 |
0.6009 |
0.6948 |
36 |
0.4 |
0.1970 |
0.5964 |
0.6912 |
38 |
0.4 |
0.1952 |
0.5899 |
0.6850 |
40 |
0.4 |
0.1940 |
0.5858 |
0.6813 |
