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160 lines
4.4 KiB
C
160 lines
4.4 KiB
C
#pragma once
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//
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// FILE: StudentTable.h
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// AUTHOR: Rob Tillaart
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// VERSION: 0.1.0
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// PURPOSE: Arduino library for Student or T-distribution math.
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// DATE: 2024-07-22
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// lookup table, do not change (unless you know what you do).
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//
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// spreadsheet = ROUND(1000 * T.INV.2T(C$4;$B7))
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//
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// x = degrees of freedom
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// y = confidence level 0.1, 0.05, 0.025, 0.01, 0.005 (single ended)
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// values are multiplied by 1000, to save RAM.
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//
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// command line overrule possible
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#ifndef STUDENT_MAX_SIZE
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#define STUDENT_MAX_SIZE (20)
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#endif
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// uses 200 bytes of RAM
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uint16_t StudentLUT[STUDENT_MAX_SIZE][5]
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{
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// 80% 90% 95% 98% 99%
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//---------------------------------
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{ 3078, 6314, 12706, 31821, 63657}, // n = 1
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{ 1886, 2920, 4303, 6965, 9925},
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{ 1638, 2353, 3182, 4541, 5841},
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{ 1533, 2132, 2776, 3747, 4604},
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{ 1476, 2015, 2571, 3365, 4032},
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{ 1440, 1943, 2447, 3143, 3707},
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{ 1415, 1895, 2365, 2998, 3499},
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{ 1397, 1860, 2306, 2896, 3355},
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{ 1383, 1833, 2262, 2821, 3250},
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{ 1372, 1812, 2228, 2764, 3169},
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{ 1363, 1796, 2201, 2718, 3106},
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{ 1356, 1782, 2179, 2681, 3055},
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{ 1350, 1771, 2160, 2650, 3012},
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{ 1345, 1761, 2145, 2624, 2977},
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{ 1341, 1753, 2131, 2602, 2947},
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{ 1337, 1746, 2120, 2583, 2921},
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{ 1333, 1740, 2110, 2567, 2898},
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{ 1330, 1734, 2101, 2552, 2878},
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{ 1328, 1729, 2093, 2539, 2861},
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{ 1325, 1725, 2086, 2528, 2845} // n = 20
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};
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/*
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{ 1323, 1721, 2080, 2518, 2831}, // n = 21
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{ 1321, 1717, 2074, 2508, 2819},
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{ 1319, 1714, 2069, 2500, 2807},
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{ 1318, 1711, 2064, 2492, 2797},
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{ 1316, 1708, 2060, 2485, 2787},
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{ 1315, 1706, 2056, 2479, 2779},
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{ 1314, 1703, 2052, 2473, 2771},
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{ 1313, 1701, 2048, 2467, 2763},
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{ 1311, 1699, 2045, 2462, 2756},
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{ 1310, 1697, 2042, 2457, 2750}, // n = 30
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{ 1309, 1696, 2040, 2453, 2744},
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{ 1309, 1694, 2037, 2449, 2738},
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{ 1308, 1692, 2035, 2445, 2733},
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{ 1307, 1691, 2032, 2441, 2728},
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{ 1306, 1690, 2030, 2438, 2724},
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{ 1306, 1688, 2028, 2434, 2719},
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{ 1305, 1687, 2026, 2431, 2715},
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{ 1304, 1686, 2024, 2429, 2712},
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{ 1304, 1685, 2023, 2426, 2708},
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{ 1303, 1684, 2021, 2423, 2704}, // n = 40
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{ 1303, 1683, 2020, 2421, 2701},
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{ 1302, 1682, 2018, 2418, 2698},
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{ 1302, 1681, 2017, 2416, 2695},
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{ 1301, 1680, 2015, 2414, 2692},
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{ 1301, 1679, 2014, 2412, 2690},
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{ 1300, 1679, 2013, 2410, 2687},
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{ 1300, 1678, 2012, 2408, 2685},
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{ 1299, 1677, 2011, 2407, 2682},
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{ 1299, 1677, 2010, 2405, 2680},
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{ 1299, 1676, 2009, 2403, 2678}, // n = 50
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{ 1298, 1675, 2008, 2402, 2676},
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{ 1298, 1675, 2007, 2400, 2674},
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{ 1298, 1674, 2006, 2399, 2672},
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{ 1297, 1674, 2005, 2397, 2670},
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{ 1297, 1673, 2004, 2396, 2668},
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{ 1297, 1673, 2003, 2395, 2667},
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{ 1297, 1672, 2002, 2394, 2665},
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{ 1296, 1672, 2002, 2392, 2663},
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{ 1296, 1671, 2001, 2391, 2662},
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{ 1296, 1671, 2000, 2390, 2660}, // n = 60
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{ 1296, 1670, 2000, 2389, 2659},
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{ 1295, 1670, 1999, 2388, 2657},
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{ 1295, 1669, 1998, 2387, 2656},
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{ 1295, 1669, 1998, 2386, 2655},
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{ 1295, 1669, 1997, 2385, 2654},
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{ 1295, 1668, 1997, 2384, 2652},
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{ 1294, 1668, 1996, 2383, 2651},
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{ 1294, 1668, 1995, 2382, 2650},
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{ 1294, 1667, 1995, 2382, 2649},
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{ 1294, 1667, 1994, 2381, 2648}, // n = 70
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{ 1294, 1667, 1994, 2380, 2647},
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{ 1293, 1666, 1993, 2379, 2646},
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{ 1293, 1666, 1993, 2379, 2645},
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{ 1293, 1666, 1993, 2378, 2644},
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{ 1293, 1665, 1992, 2377, 2643},
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{ 1293, 1665, 1992, 2376, 2642},
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{ 1293, 1665, 1991, 2376, 2641},
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{ 1292, 1665, 1991, 2375, 2640},
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{ 1292, 1664, 1990, 2374, 2640},
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{ 1292, 1664, 1990, 2374, 2639}, // n = 80
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{ 1292, 1664, 1990, 2373, 2638},
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{ 1292, 1664, 1989, 2373, 2637},
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{ 1292, 1663, 1989, 2372, 2636},
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{ 1292, 1663, 1989, 2372, 2636},
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{ 1292, 1663, 1988, 2371, 2635},
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{ 1291, 1663, 1988, 2370, 2634},
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{ 1291, 1663, 1988, 2370, 2634},
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{ 1291, 1662, 1987, 2369, 2633},
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{ 1291, 1662, 1987, 2369, 2632},
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{ 1291, 1662, 1987, 2368, 2632}, // n = 90
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{ 1291, 1662, 1986, 2368, 2631},
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{ 1291, 1662, 1986, 2368, 2630},
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{ 1291, 1661, 1986, 2367, 2630},
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{ 1291, 1661, 1986, 2367, 2629},
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{ 1291, 1661, 1985, 2366, 2629},
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{ 1290, 1661, 1985, 2366, 2628},
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{ 1290, 1661, 1985, 2365, 2627},
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{ 1290, 1661, 1984, 2365, 2627},
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{ 1290, 1660, 1984, 2365, 2626},
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{ 1290, 1660, 1984, 2364, 2626} // n = 100
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120 1289 1658 1980 2358 2617
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10000 1282 1645 1960 2327 2576 // effectively infinity.
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*/
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// -- END OF FILE --
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