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stats.go
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stats.go
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// Copyright 2023 Tomas Machalek <tomas.machalek@gmail.com>
// Copyright 2023 Martin Zimandl <martin.zimandl@gmail.com>
// Copyright 2023 Institute of the Czech National Corpus,
// Faculty of Arts, Charles University
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
package maths
import (
"errors"
"math"
)
const (
Significance_1_00 SignificanceLevel = "1.00"
Significance_0_50 SignificanceLevel = "0.50"
Significance_0_40 SignificanceLevel = "0.40"
Significance_0_30 SignificanceLevel = "0.30"
Significance_0_20 SignificanceLevel = "0.20"
Significance_0_10 SignificanceLevel = "0.10"
Significance_0_05 SignificanceLevel = "0.05"
Significance_0_02 SignificanceLevel = "0.02"
Significance_0_01 SignificanceLevel = "0.01"
Significance_0_002 SignificanceLevel = "0.002"
Significance_0_001 SignificanceLevel = "0.001"
)
var (
tTable = map[int][]float64{
// 1 0.5 0.4 0.3 0.2 0.1 0.05 0.02 0.01 0.002 0.001
1: {0.000, 1.000, 1.376, 1.963, 3.078, 6.314, 12.71, 31.82, 63.66, 318.31, 636.62},
2: {0.000, 0.816, 1.061, 1.386, 1.886, 2.920, 4.303, 6.965, 9.925, 22.327, 31.599},
3: {0.000, 0.765, 0.978, 1.250, 1.638, 2.353, 3.182, 4.541, 5.841, 10.215, 12.924},
4: {0.000, 0.741, 0.941, 1.190, 1.533, 2.132, 2.776, 3.747, 4.604, 7.173, 8.610},
5: {0.000, 0.727, 0.920, 1.156, 1.476, 2.015, 2.571, 3.365, 4.032, 5.893, 6.869},
6: {0.000, 0.718, 0.906, 1.134, 1.440, 1.943, 2.447, 3.143, 3.707, 5.208, 5.959},
7: {0.000, 0.711, 0.896, 1.119, 1.415, 1.895, 2.365, 2.998, 3.499, 4.785, 5.408},
8: {0.000, 0.706, 0.889, 1.108, 1.397, 1.860, 2.306, 2.896, 3.355, 4.501, 5.041},
9: {0.000, 0.703, 0.883, 1.100, 1.383, 1.833, 2.262, 2.821, 3.250, 4.297, 4.781},
10: {0.000, 0.700, 0.879, 1.093, 1.372, 1.812, 2.228, 2.764, 3.169, 4.144, 4.587},
11: {0.000, 0.697, 0.876, 1.088, 1.363, 1.796, 2.201, 2.718, 3.106, 4.025, 4.437},
12: {0.000, 0.695, 0.873, 1.083, 1.356, 1.782, 2.179, 2.681, 3.055, 3.930, 4.318},
13: {0.000, 0.694, 0.870, 1.079, 1.350, 1.771, 2.160, 2.650, 3.012, 3.852, 4.221},
14: {0.000, 0.692, 0.868, 1.076, 1.345, 1.761, 2.145, 2.624, 2.977, 3.787, 4.140},
15: {0.000, 0.691, 0.866, 1.074, 1.341, 1.753, 2.131, 2.602, 2.947, 3.733, 4.073},
16: {0.000, 0.690, 0.865, 1.071, 1.337, 1.746, 2.120, 2.583, 2.921, 3.686, 4.015},
17: {0.000, 0.689, 0.863, 1.069, 1.333, 1.740, 2.110, 2.567, 2.898, 3.646, 3.965},
18: {0.000, 0.688, 0.862, 1.067, 1.330, 1.734, 2.101, 2.552, 2.878, 3.610, 3.922},
19: {0.000, 0.688, 0.861, 1.066, 1.328, 1.729, 2.093, 2.539, 2.861, 3.579, 3.883},
20: {0.000, 0.687, 0.860, 1.064, 1.325, 1.725, 2.086, 2.528, 2.845, 3.552, 3.850},
21: {0.000, 0.686, 0.859, 1.063, 1.323, 1.721, 2.080, 2.518, 2.831, 3.527, 3.819},
22: {0.000, 0.686, 0.858, 1.061, 1.321, 1.717, 2.074, 2.508, 2.819, 3.505, 3.792},
23: {0.000, 0.685, 0.858, 1.060, 1.319, 1.714, 2.069, 2.500, 2.807, 3.485, 3.768},
24: {0.000, 0.685, 0.857, 1.059, 1.318, 1.711, 2.064, 2.492, 2.797, 3.467, 3.745},
25: {0.000, 0.684, 0.856, 1.058, 1.316, 1.708, 2.060, 2.485, 2.787, 3.450, 3.725},
26: {0.000, 0.684, 0.856, 1.058, 1.315, 1.706, 2.056, 2.479, 2.779, 3.435, 3.707},
27: {0.000, 0.684, 0.855, 1.057, 1.314, 1.703, 2.052, 2.473, 2.771, 3.421, 3.690},
28: {0.000, 0.683, 0.855, 1.056, 1.313, 1.701, 2.048, 2.467, 2.763, 3.408, 3.674},
29: {0.000, 0.683, 0.854, 1.055, 1.311, 1.699, 2.045, 2.462, 2.756, 3.396, 3.659},
30: {0.000, 0.683, 0.854, 1.055, 1.310, 1.697, 2.042, 2.457, 2.750, 3.385, 3.646},
40: {0.000, 0.681, 0.851, 1.050, 1.303, 1.684, 2.021, 2.423, 2.704, 3.307, 3.551},
60: {0.000, 0.679, 0.848, 1.045, 1.296, 1.671, 2.000, 2.390, 2.660, 3.232, 3.460},
80: {0.000, 0.678, 0.846, 1.043, 1.292, 1.664, 1.990, 2.374, 2.639, 3.195, 3.416},
100: {0.000, 0.677, 0.845, 1.042, 1.290, 1.660, 1.984, 2.364, 2.626, 3.174, 3.390},
1000: {0.000, 0.675, 0.842, 1.037, 1.282, 1.646, 1.962, 2.330, 2.581, 3.098, 3.300},
}
zTable = map[SignificanceLevel]float64{
Significance_1_00: 0,
Significance_0_50: 0.6745,
Significance_0_40: 0.8416,
Significance_0_30: 1.0364,
Significance_0_20: 1.2816,
Significance_0_10: 1.6449,
Significance_0_05: 1.96,
Significance_0_02: 2.3263,
Significance_0_01: 2.5758,
Significance_0_002: 3.0902,
Significance_0_001: 3.2905,
}
idxMap = map[SignificanceLevel]int{
"1.00": 0, "0.50": 1, "0.40": 2, "0.30": 3, "0.20": 4,
"0.10": 5, "0.05": 6, "0.02": 7, "0.01": 8, "0.002": 9, "0.001": 10,
}
ErrValueNotAvailable = errors.New("t-value not available for provided degrees of freedom")
ErrUnsupportedSignifLevel = errors.New("unsupported significance level")
ErrTooSmallDataset = errors.New("too small dataset")
)
type Ordered[T any] interface {
Get(idx int) T
Len() int
}
type FreqInfo interface {
Freq() int
}
type Quartiles struct {
Q1Idx int
Q1 int
Q2Idx int
Q2 int
Q3Idx int
Q3 int
}
func (q Quartiles) IQR() int {
return q.Q3 - q.Q1
}
// GetQuartiles calculates quartiles on an ordered and (sorted)
// list. The function requires at least 7 items in the data.
// Otherwise, it returns ErrTooSmallDataset
func GetQuartiles[T FreqInfo](data Ordered[T]) (Quartiles, error) {
if data.Len() < 7 {
return Quartiles{}, ErrTooSmallDataset
}
q2Idx := math.Round(float64(data.Len())/2.0) - 1
q1Idx := math.Round(q2Idx / 2)
q3Idx := q2Idx + math.Round((float64(data.Len())-q2Idx)/2.0)
return Quartiles{
Q1Idx: int(q1Idx),
Q1: data.Get(int(q1Idx)).Freq(),
Q2Idx: int(q2Idx),
Q2: data.Get(int(q2Idx)).Freq(),
Q3Idx: int(q3Idx),
Q3: data.Get(int(q3Idx)).Freq(),
}, nil
}