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cbaragao/fnZTable.pq

Last active February 22, 2024 16:49
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fnZTable.pq
let
fnZTable = (test_type as text, value as number) =>
let
// define z table - taken from https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf
standard = Table.FromRecords(
{
[z = - 3.99, area_left = 0.00003, area_right = 0.99997, position = "below mean"],
[z = - 3.98, area_left = 0.00003, area_right = 0.99997, position = "below mean"],
[z = - 3.97, area_left = 0.00004, area_right = 0.99996, position = "below mean"],
[z = - 3.96, area_left = 0.00004, area_right = 0.99996, position = "below mean"],
[z = - 3.95, area_left = 0.00004, area_right = 0.99996, position = "below mean"],
[z = - 3.94, area_left = 0.00004, area_right = 0.99996, position = "below mean"],
[z = - 3.93, area_left = 0.00004, area_right = 0.99996, position = "below mean"],
[z = - 3.92, area_left = 0.00004, area_right = 0.99996, position = "below mean"],
[z = - 3.91, area_left = 0.00005, area_right = 0.99995, position = "below mean"],
[z = - 3.9, area_left = 0.00005, area_right = 0.99995, position = "below mean"],
[z = - 3.89, area_left = 0.00005, area_right = 0.99995, position = "below mean"],
[z = - 3.88, area_left = 0.00005, area_right = 0.99995, position = "below mean"],
[z = - 3.87, area_left = 0.00005, area_right = 0.99995, position = "below mean"],
[z = - 3.86, area_left = 0.00006, area_right = 0.99994, position = "below mean"],
[z = - 3.85, area_left = 0.00006, area_right = 0.99994, position = "below mean"],
[z = - 3.84, area_left = 0.00006, area_right = 0.99994, position = "below mean"],
[z = - 3.83, area_left = 0.00006, area_right = 0.99994, position = "below mean"],
[z = - 3.82, area_left = 0.00007, area_right = 0.99993, position = "below mean"],
[z = - 3.81, area_left = 0.00007, area_right = 0.99993, position = "below mean"],
[z = - 3.8, area_left = 0.00007, area_right = 0.99993, position = "below mean"],
[z = - 3.79, area_left = 0.00008, area_right = 0.99992, position = "below mean"],
[z = - 3.78, area_left = 0.00008, area_right = 0.99992, position = "below mean"],
[z = - 3.77, area_left = 0.00008, area_right = 0.99992, position = "below mean"],
[z = - 3.76, area_left = 0.00008, area_right = 0.99992, position = "below mean"],
[z = - 3.75, area_left = 0.00009, area_right = 0.99991, position = "below mean"],
[z = - 3.74, area_left = 0.00009, area_right = 0.99991, position = "below mean"],
[z = - 3.73, area_left = 0.0001, area_right = 0.9999, position = "below mean"],
[z = - 3.72, area_left = 0.0001, area_right = 0.9999, position = "below mean"],
[z = - 3.71, area_left = 0.0001, area_right = 0.9999, position = "below mean"],
[z = - 3.7, area_left = 0.00011, area_right = 0.99989, position = "below mean"],
[z = - 3.69, area_left = 0.00011, area_right = 0.99989, position = "below mean"],
[z = - 3.68, area_left = 0.00012, area_right = 0.99988, position = "below mean"],
[z = - 3.67, area_left = 0.00012, area_right = 0.99988, position = "below mean"],
[z = - 3.66, area_left = 0.00013, area_right = 0.99987, position = "below mean"],
[z = - 3.65, area_left = 0.00013, area_right = 0.99987, position = "below mean"],
[z = - 3.64, area_left = 0.00014, area_right = 0.99986, position = "below mean"],
[z = - 3.63, area_left = 0.00014, area_right = 0.99986, position = "below mean"],
[z = - 3.62, area_left = 0.00015, area_right = 0.99985, position = "below mean"],
[z = - 3.61, area_left = 0.00015, area_right = 0.99985, position = "below mean"],
[z = - 3.6, area_left = 0.00016, area_right = 0.99984, position = "below mean"],
[z = - 3.59, area_left = 0.00017, area_right = 0.99983, position = "below mean"],
[z = - 3.58, area_left = 0.00017, area_right = 0.99983, position = "below mean"],
[z = - 3.57, area_left = 0.00018, area_right = 0.99982, position = "below mean"],
[z = - 3.56, area_left = 0.00019, area_right = 0.99981, position = "below mean"],
[z = - 3.55, area_left = 0.00019, area_right = 0.99981, position = "below mean"],
[z = - 3.54, area_left = 0.0002, area_right = 0.9998, position = "below mean"],
[z = - 3.53, area_left = 0.00021, area_right = 0.99979, position = "below mean"],
[z = - 3.52, area_left = 0.00022, area_right = 0.99978, position = "below mean"],
[z = - 3.51, area_left = 0.00022, area_right = 0.99978, position = "below mean"],
[z = - 3.5, area_left = 0.00023, area_right = 0.99977, position = "below mean"],
[z = - 3.49, area_left = 0.00024, area_right = 0.99976, position = "below mean"],
[z = - 3.48, area_left = 0.00025, area_right = 0.99975, position = "below mean"],
[z = - 3.47, area_left = 0.00026, area_right = 0.99974, position = "below mean"],
[z = - 3.46, area_left = 0.00027, area_right = 0.99973, position = "below mean"],
[z = - 3.45, area_left = 0.00028, area_right = 0.99972, position = "below mean"],
[z = - 3.44, area_left = 0.00029, area_right = 0.99971, position = "below mean"],
[z = - 3.43, area_left = 0.0003, area_right = 0.9997, position = "below mean"],
[z = - 3.42, area_left = 0.00031, area_right = 0.99969, position = "below mean"],
[z = - 3.41, area_left = 0.00032, area_right = 0.99968, position = "below mean"],
[z = - 3.4, area_left = 0.00034, area_right = 0.99966, position = "below mean"],
[z = - 3.39, area_left = 0.00035, area_right = 0.99965, position = "below mean"],
[z = - 3.38, area_left = 0.00036, area_right = 0.99964, position = "below mean"],
[z = - 3.37, area_left = 0.00038, area_right = 0.99962, position = "below mean"],
[z = - 3.36, area_left = 0.00039, area_right = 0.99961, position = "below mean"],
[z = - 3.35, area_left = 0.0004, area_right = 0.9996, position = "below mean"],
[z = - 3.34, area_left = 0.00042, area_right = 0.99958, position = "below mean"],
[z = - 3.33, area_left = 0.00043, area_right = 0.99957, position = "below mean"],
[z = - 3.32, area_left = 0.00045, area_right = 0.99955, position = "below mean"],
[z = - 3.31, area_left = 0.00047, area_right = 0.99953, position = "below mean"],
[z = - 3.3, area_left = 0.00048, area_right = 0.99952, position = "below mean"],
[z = - 3.29, area_left = 0.0005, area_right = 0.9995, position = "below mean"],
[z = - 3.28, area_left = 0.00052, area_right = 0.99948, position = "below mean"],
[z = - 3.27, area_left = 0.00054, area_right = 0.99946, position = "below mean"],
[z = - 3.26, area_left = 0.00056, area_right = 0.99944, position = "below mean"],
[z = - 3.25, area_left = 0.00058, area_right = 0.99942, position = "below mean"],
[z = - 3.24, area_left = 0.0006, area_right = 0.9994, position = "below mean"],
[z = - 3.23, area_left = 0.00062, area_right = 0.99938, position = "below mean"],
[z = - 3.22, area_left = 0.00064, area_right = 0.99936, position = "below mean"],
[z = - 3.21, area_left = 0.00066, area_right = 0.99934, position = "below mean"],
[z = - 3.2, area_left = 0.00069, area_right = 0.99931, position = "below mean"],
[z = - 3.19, area_left = 0.00071, area_right = 0.99929, position = "below mean"],
[z = - 3.18, area_left = 0.00074, area_right = 0.99926, position = "below mean"],
[z = - 3.17, area_left = 0.00076, area_right = 0.99924, position = "below mean"],
[z = - 3.16, area_left = 0.00079, area_right = 0.99921, position = "below mean"],
[z = - 3.15, area_left = 0.00082, area_right = 0.99918, position = "below mean"],
[z = - 3.14, area_left = 0.00084, area_right = 0.99916, position = "below mean"],
[z = - 3.13, area_left = 0.00087, area_right = 0.99913, position = "below mean"],
[z = - 3.12, area_left = 0.0009, area_right = 0.9991, position = "below mean"],
[z = - 3.11, area_left = 0.00094, area_right = 0.99906, position = "below mean"],
[z = - 3.1, area_left = 0.00097, area_right = 0.99903, position = "below mean"],
[z = - 3.09, area_left = 0.001, area_right = 0.999, position = "below mean"],
[z = - 3.08, area_left = 0.00104, area_right = 0.99896, position = "below mean"],
[z = - 3.07, area_left = 0.00107, area_right = 0.99893, position = "below mean"],
[z = - 3.06, area_left = 0.00111, area_right = 0.99889, position = "below mean"],
[z = - 3.05, area_left = 0.00114, area_right = 0.99886, position = "below mean"],
[z = - 3.04, area_left = 0.00118, area_right = 0.99882, position = "below mean"],
[z = - 3.03, area_left = 0.00122, area_right = 0.99878, position = "below mean"],
[z = - 3.02, area_left = 0.00126, area_right = 0.99874, position = "below mean"],
[z = - 3.01, area_left = 0.00131, area_right = 0.99869, position = "below mean"],
[z = - 3, area_left = 0.00135, area_right = 0.99865, position = "below mean"],
[z = - 2.99, area_left = 0.00139, area_right = 0.99861, position = "below mean"],
[z = - 2.98, area_left = 0.00144, area_right = 0.99856, position = "below mean"],
[z = - 2.97, area_left = 0.00149, area_right = 0.99851, position = "below mean"],
[z = - 2.96, area_left = 0.00154, area_right = 0.99846, position = "below mean"],
[z = - 2.95, area_left = 0.00159, area_right = 0.99841, position = "below mean"],
[z = - 2.94, area_left = 0.00164, area_right = 0.99836, position = "below mean"],
[z = - 2.93, area_left = 0.00169, area_right = 0.99831, position = "below mean"],
[z = - 2.92, area_left = 0.00175, area_right = 0.99825, position = "below mean"],
[z = - 2.91, area_left = 0.00181, area_right = 0.99819, position = "below mean"],
[z = - 2.9, area_left = 0.00187, area_right = 0.99813, position = "below mean"],
[z = - 2.89, area_left = 0.00193, area_right = 0.99807, position = "below mean"],
[z = - 2.88, area_left = 0.00199, area_right = 0.99801, position = "below mean"],
[z = - 2.87, area_left = 0.00205, area_right = 0.99795, position = "below mean"],
[z = - 2.86, area_left = 0.00212, area_right = 0.99788, position = "below mean"],
[z = - 2.85, area_left = 0.00219, area_right = 0.99781, position = "below mean"],
[z = - 2.84, area_left = 0.00226, area_right = 0.99774, position = "below mean"],
[z = - 2.83, area_left = 0.00233, area_right = 0.99767, position = "below mean"],
[z = - 2.82, area_left = 0.0024, area_right = 0.9976, position = "below mean"],
[z = - 2.81, area_left = 0.00248, area_right = 0.99752, position = "below mean"],
[z = - 2.8, area_left = 0.00256, area_right = 0.99744, position = "below mean"],
[z = - 2.79, area_left = 0.00264, area_right = 0.99736, position = "below mean"],
[z = - 2.78, area_left = 0.00272, area_right = 0.99728, position = "below mean"],
[z = - 2.77, area_left = 0.0028, area_right = 0.9972, position = "below mean"],
[z = - 2.76, area_left = 0.00289, area_right = 0.99711, position = "below mean"],
[z = - 2.75, area_left = 0.00298, area_right = 0.99702, position = "below mean"],
[z = - 2.74, area_left = 0.00307, area_right = 0.99693, position = "below mean"],
[z = - 2.73, area_left = 0.00317, area_right = 0.99683, position = "below mean"],
[z = - 2.72, area_left = 0.00326, area_right = 0.99674, position = "below mean"],
[z = - 2.71, area_left = 0.00336, area_right = 0.99664, position = "below mean"],
[z = - 2.7, area_left = 0.00347, area_right = 0.99653, position = "below mean"],
[z = - 2.69, area_left = 0.00357, area_right = 0.99643, position = "below mean"],
[z = - 2.68, area_left = 0.00368, area_right = 0.99632, position = "below mean"],
[z = - 2.67, area_left = 0.00379, area_right = 0.99621, position = "below mean"],
[z = - 2.66, area_left = 0.00391, area_right = 0.99609, position = "below mean"],
[z = - 2.65, area_left = 0.00402, area_right = 0.99598, position = "below mean"],
[z = - 2.64, area_left = 0.00415, area_right = 0.99585, position = "below mean"],
[z = - 2.63, area_left = 0.00427, area_right = 0.99573, position = "below mean"],
[z = - 2.62, area_left = 0.0044, area_right = 0.9956, position = "below mean"],
[z = - 2.61, area_left = 0.00453, area_right = 0.99547, position = "below mean"],
[z = - 2.6, area_left = 0.00466, area_right = 0.99534, position = "below mean"],
[z = - 2.59, area_left = 0.0048, area_right = 0.9952, position = "below mean"],
[z = - 2.58, area_left = 0.00494, area_right = 0.99506, position = "below mean"],
[z = - 2.57, area_left = 0.00508, area_right = 0.99492, position = "below mean"],
[z = - 2.56, area_left = 0.00523, area_right = 0.99477, position = "below mean"],
[z = - 2.55, area_left = 0.00539, area_right = 0.99461, position = "below mean"],
[z = - 2.54, area_left = 0.00554, area_right = 0.99446, position = "below mean"],
[z = - 2.53, area_left = 0.0057, area_right = 0.9943, position = "below mean"],
[z = - 2.52, area_left = 0.00587, area_right = 0.99413, position = "below mean"],
[z = - 2.51, area_left = 0.00604, area_right = 0.99396, position = "below mean"],
[z = - 2.5, area_left = 0.00621, area_right = 0.99379, position = "below mean"],
[z = - 2.49, area_left = 0.00639, area_right = 0.99361, position = "below mean"],
[z = - 2.48, area_left = 0.00657, area_right = 0.99343, position = "below mean"],
[z = - 2.47, area_left = 0.00676, area_right = 0.99324, position = "below mean"],
[z = - 2.46, area_left = 0.00695, area_right = 0.99305, position = "below mean"],
[z = - 2.45, area_left = 0.00714, area_right = 0.99286, position = "below mean"],
[z = - 2.44, area_left = 0.00734, area_right = 0.99266, position = "below mean"],
[z = - 2.43, area_left = 0.00755, area_right = 0.99245, position = "below mean"],
[z = - 2.42, area_left = 0.00776, area_right = 0.99224, position = "below mean"],
[z = - 2.41, area_left = 0.00798, area_right = 0.99202, position = "below mean"],
[z = - 2.4, area_left = 0.0082, area_right = 0.9918, position = "below mean"],
[z = - 2.39, area_left = 0.00842, area_right = 0.99158, position = "below mean"],
[z = - 2.38, area_left = 0.00866, area_right = 0.99134, position = "below mean"],
[z = - 2.37, area_left = 0.00889, area_right = 0.99111, position = "below mean"],
[z = - 2.36, area_left = 0.00914, area_right = 0.99086, position = "below mean"],
[z = - 2.35, area_left = 0.00939, area_right = 0.99061, position = "below mean"],
[z = - 2.34, area_left = 0.00964, area_right = 0.99036, position = "below mean"],
[z = - 2.33, area_left = 0.0099, area_right = 0.9901, position = "below mean"],
[z = - 2.32, area_left = 0.01017, area_right = 0.98983, position = "below mean"],
[z = - 2.31, area_left = 0.01044, area_right = 0.98956, position = "below mean"],
[z = - 2.3, area_left = 0.01072, area_right = 0.98928, position = "below mean"],
[z = - 2.29, area_left = 0.01101, area_right = 0.98899, position = "below mean"],
[z = - 2.28, area_left = 0.0113, area_right = 0.9887, position = "below mean"],
[z = - 2.27, area_left = 0.0116, area_right = 0.9884, position = "below mean"],
[z = - 2.26, area_left = 0.01191, area_right = 0.98809, position = "below mean"],
[z = - 2.25, area_left = 0.01222, area_right = 0.98778, position = "below mean"],
[z = - 2.24, area_left = 0.01255, area_right = 0.98745, position = "below mean"],
[z = - 2.23, area_left = 0.01287, area_right = 0.98713, position = "below mean"],
[z = - 2.22, area_left = 0.01321, area_right = 0.98679, position = "below mean"],
[z = - 2.21, area_left = 0.01355, area_right = 0.98645, position = "below mean"],
[z = - 2.2, area_left = 0.0139, area_right = 0.9861, position = "below mean"],
[z = - 2.19, area_left = 0.01426, area_right = 0.98574, position = "below mean"],
[z = - 2.18, area_left = 0.01463, area_right = 0.98537, position = "below mean"],
[z = - 2.17, area_left = 0.015, area_right = 0.985, position = "below mean"],
[z = - 2.16, area_left = 0.01539, area_right = 0.98461, position = "below mean"],
[z = - 2.15, area_left = 0.01578, area_right = 0.98422, position = "below mean"],
[z = - 2.14, area_left = 0.01618, area_right = 0.98382, position = "below mean"],
[z = - 2.13, area_left = 0.01659, area_right = 0.98341, position = "below mean"],
[z = - 2.12, area_left = 0.017, area_right = 0.983, position = "below mean"],
[z = - 2.11, area_left = 0.01743, area_right = 0.98257, position = "below mean"],
[z = - 2.1, area_left = 0.01786, area_right = 0.98214, position = "below mean"],
[z = - 2.09, area_left = 0.01831, area_right = 0.98169, position = "below mean"],
[z = - 2.08, area_left = 0.01876, area_right = 0.98124, position = "below mean"],
[z = - 2.07, area_left = 0.01923, area_right = 0.98077, position = "below mean"],
[z = - 2.06, area_left = 0.0197, area_right = 0.9803, position = "below mean"],
[z = - 2.05, area_left = 0.02018, area_right = 0.97982, position = "below mean"],
[z = - 2.04, area_left = 0.02068, area_right = 0.97932, position = "below mean"],
[z = - 2.03, area_left = 0.02118, area_right = 0.97882, position = "below mean"],
[z = - 2.02, area_left = 0.02169, area_right = 0.97831, position = "below mean"],
[z = - 2.01, area_left = 0.02222, area_right = 0.97778, position = "below mean"],
[z = - 2, area_left = 0.02275, area_right = 0.97725, position = "below mean"],
[z = - 1.99, area_left = 0.0233, area_right = 0.9767, position = "below mean"],
[z = - 1.98, area_left = 0.02385, area_right = 0.97615, position = "below mean"],
[z = - 1.97, area_left = 0.02442, area_right = 0.97558, position = "below mean"],
[z = - 1.96, area_left = 0.025, area_right = 0.975, position = "below mean"],
[z = - 1.95, area_left = 0.02559, area_right = 0.97441, position = "below mean"],
[z = - 1.94, area_left = 0.02619, area_right = 0.97381, position = "below mean"],
[z = - 1.93, area_left = 0.0268, area_right = 0.9732, position = "below mean"],
[z = - 1.92, area_left = 0.02743, area_right = 0.97257, position = "below mean"],
[z = - 1.91, area_left = 0.02807, area_right = 0.97193, position = "below mean"],
[z = - 1.9, area_left = 0.02872, area_right = 0.97128, position = "below mean"],
[z = - 1.89, area_left = 0.02938, area_right = 0.97062, position = "below mean"],
[z = - 1.88, area_left = 0.03005, area_right = 0.96995, position = "below mean"],
[z = - 1.87, area_left = 0.03074, area_right = 0.96926, position = "below mean"],
[z = - 1.86, area_left = 0.03144, area_right = 0.96856, position = "below mean"],
[z = - 1.85, area_left = 0.03216, area_right = 0.96784, position = "below mean"],
[z = - 1.84, area_left = 0.03288, area_right = 0.96712, position = "below mean"],
[z = - 1.83, area_left = 0.03362, area_right = 0.96638, position = "below mean"],
[z = - 1.82, area_left = 0.03438, area_right = 0.96562, position = "below mean"],
[z = - 1.81, area_left = 0.03515, area_right = 0.96485, position = "below mean"],
[z = - 1.8, area_left = 0.03593, area_right = 0.96407, position = "below mean"],
[z = - 1.79, area_left = 0.03673, area_right = 0.96327, position = "below mean"],
[z = - 1.78, area_left = 0.03754, area_right = 0.96246, position = "below mean"],
[z = - 1.77, area_left = 0.03836, area_right = 0.96164, position = "below mean"],
[z = - 1.76, area_left = 0.0392, area_right = 0.9608, position = "below mean"],
[z = - 1.75, area_left = 0.04006, area_right = 0.95994, position = "below mean"],
[z = - 1.74, area_left = 0.04093, area_right = 0.95907, position = "below mean"],
[z = - 1.73, area_left = 0.04182, area_right = 0.95818, position = "below mean"],
[z = - 1.72, area_left = 0.04272, area_right = 0.95728, position = "below mean"],
[z = - 1.71, area_left = 0.04363, area_right = 0.95637, position = "below mean"],
[z = - 1.7, area_left = 0.04457, area_right = 0.95543, position = "below mean"],
[z = - 1.69, area_left = 0.04551, area_right = 0.95449, position = "below mean"],
[z = - 1.68, area_left = 0.04648, area_right = 0.95352, position = "below mean"],
[z = - 1.67, area_left = 0.04746, area_right = 0.95254, position = "below mean"],
[z = - 1.66, area_left = 0.04846, area_right = 0.95154, position = "below mean"],
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[z = 3.11, area_left = 0.99906, area_right = 0.000940000000000052, position = "above mean"],
[z = 3.12, area_left = 0.9991, area_right = 0.000900000000000012, position = "above mean"],
[z = 3.13, area_left = 0.99913, area_right = 0.000870000000000037, position = "above mean"],
[z = 3.14, area_left = 0.99916, area_right = 0.000839999999999952, position = "above mean"],
[z = 3.15, area_left = 0.99918, area_right = 0.000820000000000043, position = "above mean"],
[z = 3.16, area_left = 0.99921, area_right = 0.000789999999999957, position = "above mean"],
[z = 3.17, area_left = 0.99924, area_right = 0.000759999999999983, position = "above mean"],
[z = 3.18, area_left = 0.99926, area_right = 0.000739999999999963, position = "above mean"],
[z = 3.19, area_left = 0.99929, area_right = 0.000709999999999988, position = "above mean"],
[z = 3.2, area_left = 0.99931, area_right = 0.000689999999999968, position = "above mean"],
[z = 3.21, area_left = 0.99934, area_right = 0.000659999999999994, position = "above mean"],
[z = 3.22, area_left = 0.99936, area_right = 0.000639999999999974, position = "above mean"],
[z = 3.23, area_left = 0.99938, area_right = 0.000619999999999954, position = "above mean"],
[z = 3.24, area_left = 0.9994, area_right = 0.000600000000000045, position = "above mean"],
[z = 3.25, area_left = 0.99942, area_right = 0.000580000000000025, position = "above mean"],
[z = 3.26, area_left = 0.99944, area_right = 0.000560000000000005, position = "above mean"],
[z = 3.27, area_left = 0.99946, area_right = 0.000539999999999985, position = "above mean"],
[z = 3.28, area_left = 0.99948, area_right = 0.000519999999999965, position = "above mean"],
[z = 3.29, area_left = 0.9995, area_right = 0.000499999999999945, position = "above mean"],
[z = 3.3, area_left = 0.99952, area_right = 0.000480000000000036, position = "above mean"],
[z = 3.31, area_left = 0.99953, area_right = 0.00046999999999997, position = "above mean"],
[z = 3.32, area_left = 0.99955, area_right = 0.00044999999999995, position = "above mean"],
[z = 3.33, area_left = 0.99957, area_right = 0.000430000000000041, position = "above mean"],
[z = 3.34, area_left = 0.99958, area_right = 0.000419999999999976, position = "above mean"],
[z = 3.35, area_left = 0.9996, area_right = 0.000399999999999956, position = "above mean"],
[z = 3.36, area_left = 0.99961, area_right = 0.000390000000000001, position = "above mean"],
[z = 3.37, area_left = 0.99962, area_right = 0.000380000000000047, position = "above mean"],
[z = 3.38, area_left = 0.99964, area_right = 0.000360000000000027, position = "above mean"],
[z = 3.39, area_left = 0.99965, area_right = 0.000349999999999961, position = "above mean"],
[z = 3.4, area_left = 0.99966, area_right = 0.000340000000000007, position = "above mean"],
[z = 3.41, area_left = 0.99968, area_right = 0.000319999999999987, position = "above mean"],
[z = 3.42, area_left = 0.99969, area_right = 0.000310000000000032, position = "above mean"],
[z = 3.43, area_left = 0.9997, area_right = 0.000299999999999967, position = "above mean"],
[z = 3.44, area_left = 0.99971, area_right = 0.000290000000000012, position = "above mean"],
[z = 3.45, area_left = 0.99972, area_right = 0.000279999999999947, position = "above mean"],
[z = 3.46, area_left = 0.99973, area_right = 0.000269999999999992, position = "above mean"],
[z = 3.47, area_left = 0.99974, area_right = 0.000260000000000038, position = "above mean"],
[z = 3.48, area_left = 0.99975, area_right = 0.000249999999999972, position = "above mean"],
[z = 3.49, area_left = 0.99976, area_right = 0.000240000000000018, position = "above mean"],
[z = 3.5, area_left = 0.99977, area_right = 0.000229999999999952, position = "above mean"],
[z = 3.51, area_left = 0.99978, area_right = 0.000219999999999998, position = "above mean"],
[z = 3.52, area_left = 0.99978, area_right = 0.000219999999999998, position = "above mean"],
[z = 3.53, area_left = 0.99979, area_right = 0.000210000000000043, position = "above mean"],
[z = 3.54, area_left = 0.9998, area_right = 0.000199999999999978, position = "above mean"],
[z = 3.55, area_left = 0.99981, area_right = 0.000190000000000023, position = "above mean"],
[z = 3.56, area_left = 0.99981, area_right = 0.000190000000000023, position = "above mean"],
[z = 3.57, area_left = 0.99982, area_right = 0.000179999999999958, position = "above mean"],
[z = 3.58, area_left = 0.99983, area_right = 0.000170000000000003, position = "above mean"],
[z = 3.59, area_left = 0.99983, area_right = 0.000170000000000003, position = "above mean"],
[z = 3.6, area_left = 0.99984, area_right = 0.000160000000000049, position = "above mean"],
[z = 3.61, area_left = 0.99985, area_right = 0.000149999999999983, position = "above mean"],
[z = 3.62, area_left = 0.99985, area_right = 0.000149999999999983, position = "above mean"],
[z = 3.63, area_left = 0.99986, area_right = 0.000140000000000029, position = "above mean"],
[z = 3.64, area_left = 0.99986, area_right = 0.000140000000000029, position = "above mean"],
[z = 3.65, area_left = 0.99987, area_right = 0.000129999999999963, position = "above mean"],
[z = 3.66, area_left = 0.99987, area_right = 0.000129999999999963, position = "above mean"],
[z = 3.67, area_left = 0.99988, area_right = 0.000120000000000009, position = "above mean"],
[z = 3.68, area_left = 0.99988, area_right = 0.000120000000000009, position = "above mean"],
[z = 3.69, area_left = 0.99989, area_right = 0.000110000000000054, position = "above mean"],
[z = 3.7, area_left = 0.99989, area_right = 0.000110000000000054, position = "above mean"],
[z = 3.71, area_left = 0.9999, area_right = 0.000099999999999989, position = "above mean"],
[z = 3.72, area_left = 0.9999, area_right = 0.000099999999999989, position = "above mean"],
[z = 3.73, area_left = 0.9999, area_right = 0.000099999999999989, position = "above mean"],
[z = 3.74, area_left = 0.99991, area_right = 9.00000000000345E-05, position = "above mean"],
[z = 3.75, area_left = 0.99991, area_right = 9.00000000000345E-05, position = "above mean"],
[z = 3.76, area_left = 0.99992, area_right = 0.000079999999999969, position = "above mean"],
[z = 3.77, area_left = 0.99992, area_right = 0.000079999999999969, position = "above mean"],
[z = 3.78, area_left = 0.99992, area_right = 0.000079999999999969, position = "above mean"],
[z = 3.79, area_left = 0.99992, area_right = 0.000079999999999969, position = "above mean"],
[z = 3.8, area_left = 0.99993, area_right = 7.00000000000145E-05, position = "above mean"],
[z = 3.81, area_left = 0.99993, area_right = 7.00000000000145E-05, position = "above mean"],
[z = 3.82, area_left = 0.99993, area_right = 7.00000000000145E-05, position = "above mean"],
[z = 3.83, area_left = 0.99994, area_right = 0.000059999999999949, position = "above mean"],
[z = 3.84, area_left = 0.99994, area_right = 0.000059999999999949, position = "above mean"],
[z = 3.85, area_left = 0.99994, area_right = 0.000059999999999949, position = "above mean"],
[z = 3.86, area_left = 0.99994, area_right = 0.000059999999999949, position = "above mean"],
[z = 3.87, area_left = 0.99995, area_right = 4.99999999999945E-05, position = "above mean"],
[z = 3.88, area_left = 0.99995, area_right = 4.99999999999945E-05, position = "above mean"],
[z = 3.89, area_left = 0.99995, area_right = 4.99999999999945E-05, position = "above mean"],
[z = 3.9, area_left = 0.99995, area_right = 4.99999999999945E-05, position = "above mean"],
[z = 3.91, area_left = 0.99995, area_right = 4.99999999999945E-05, position = "above mean"],
[z = 3.92, area_left = 0.99996, area_right = 0.00004000000000004, position = "above mean"],
[z = 3.93, area_left = 0.99996, area_right = 0.00004000000000004, position = "above mean"],
[z = 3.94, area_left = 0.99996, area_right = 0.00004000000000004, position = "above mean"],
[z = 3.95, area_left = 0.99996, area_right = 0.00004000000000004, position = "above mean"],
[z = 3.96, area_left = 0.99996, area_right = 0.00004000000000004, position = "above mean"],
[z = 3.97, area_left = 0.99996, area_right = 0.00004000000000004, position = "above mean"],
[z = 3.98, area_left = 0.99997, area_right = 2.99999999999745E-05, position = "above mean"],
[z = 3.99, area_left = 0.99997, area_right = 2.99999999999745E-05, position = "above mean"]
},
type table [z = number, area_left = number, area_right = number, position = text]
),
// check the test type, if it is not z, subtract from 1
v = if test_type <> "z" then Number.Round(1 - value, 3) else value,
get_values =
// lookup values based on test - default to z lookup
if test_type = "r" then
Table.ToRecords(Table.LastN(Table.SelectRows(standard, each Number.Round([area_right], 3) = v), 1))
else if test_type = "l" then
Table.ToRecords(Table.FirstN(Table.SelectRows(standard, each Number.Round([area_left], 3) = v), 1))
else if test_type = "t" then
Table.SelectRows(standard, each Number.Round([area_left], 3) = Number.Round(v / 2, 3) or Number.Round([area_right], 3) = Number.Round(v / 2, 3))
else
Table.SelectRows(standard, each [z] = v)
in
get_values,
fnType = type function (test_type as text, value as number) as record
meta [
Documentation.Name = "fnZTable",
Documentation.LongDescription = "This provides lookup capabilities on the Standard Table for Z Scores. " & "The second value is either the confidence level you are looking for or the z-score you are looking up.",
Documentation.Examples = {
[Description = "The test types can be the following: " & "t = two-tailed test; " & "l = left-tailed test; " & "r = right-tailed test; " & "z = lookup based on z score", Code = "fnZTable(""r"", 0.95)", Result = "[z=1.64, area_left = 0.9495, area_right=0.0505, position= above mean]"]
}
]
in
Value.ReplaceType(fnZTable, fnType)
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