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https://github.com/ClickHouse/ClickHouse.git
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parent
85ac4c4f36
commit
3f874af323
@ -30,12 +30,12 @@ struct StudentTTestData : public TTestMoments<Float64>
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std::pair<Float64, Float64> getResult() const
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{
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Float64 mean_x = x1 / m0;
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Float64 mean_y = y1 / m0;
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Float64 mean_x = x1 / nx;
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Float64 mean_y = y1 / ny;
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/// To estimate the variance we first estimate two means.
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/// That's why the number of degrees of freedom is the total number of values of both samples minus 2.
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Float64 degrees_of_freedom = 2.0 * (m0 - 1);
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Float64 degrees_of_freedom = nx + ny - 2;
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/// Calculate s^2
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/// The original formulae looks like
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@ -43,11 +43,11 @@ struct StudentTTestData : public TTestMoments<Float64>
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/// But we made some mathematical transformations not to store original sequences.
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/// Also we dropped sqrt, because later it will be squared later.
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Float64 all_x = x2 + m0 * mean_x * mean_x - 2 * mean_x * m0;
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Float64 all_y = y2 + m0 * mean_y * mean_y - 2 * mean_y * m0;
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Float64 all_x = x2 + nx * mean_x * mean_x - 2 * mean_x * x1;
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Float64 all_y = y2 + ny * mean_y * mean_y - 2 * mean_y * y1;
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Float64 s2 = (all_x + all_y) / degrees_of_freedom;
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Float64 std_err2 = 2.0 * s2 / m0;
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Float64 std_err2 = s2 * (1 / nx + 1 / ny);
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/// t-statistic
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Float64 t_stat = (mean_x - mean_y) / sqrt(std_err2);
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@ -71,7 +71,7 @@ AggregateFunctionPtr createAggregateFunctionStudentTTest(const std::string & nam
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void registerAggregateFunctionStudentTTest(AggregateFunctionFactory & factory)
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{
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factory.registerFunction("studentTTest", createAggregateFunctionStudentTTest, AggregateFunctionFactory::CaseInsensitive);
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factory.registerFunction("studentTTest", createAggregateFunctionStudentTTest);
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}
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}
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@ -95,10 +95,10 @@ public:
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void add(AggregateDataPtr place, const IColumn ** columns, size_t row_num, Arena *) const override
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{
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Float64 x = columns[0]->getFloat64(row_num);
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Float64 y = columns[1]->getFloat64(row_num);
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Float64 value = columns[0]->getFloat64(row_num);
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UInt8 is_second = columns[1]->getUInt(row_num);
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this->data(place).add(x, y);
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this->data(place).add(value, static_cast<bool>(is_second));
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}
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void merge(AggregateDataPtr place, ConstAggregateDataPtr rhs, Arena *) const override
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@ -24,8 +24,8 @@ struct WelchTTestData : public TTestMoments<Float64>
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std::pair<Float64, Float64> getResult() const
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{
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Float64 mean_x = x1 / m0;
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Float64 mean_y = y1 / m0;
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Float64 mean_x = x1 / nx;
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Float64 mean_y = y1 / ny;
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/// s_x^2, s_y^2
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@ -33,19 +33,19 @@ struct WelchTTestData : public TTestMoments<Float64>
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/// But we made some mathematical transformations not to store original sequences.
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/// Also we dropped sqrt, because later it will be squared later.
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Float64 sx2 = (x2 + m0 * mean_x * mean_x - 2 * mean_x * x1) / (m0 - 1);
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Float64 sy2 = (y2 + m0 * mean_y * mean_y - 2 * mean_y * y1) / (m0 - 1);
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Float64 sx2 = (x2 + nx * mean_x * mean_x - 2 * mean_x * x1) / (nx - 1);
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Float64 sy2 = (y2 + ny * mean_y * mean_y - 2 * mean_y * y1) / (ny - 1);
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/// t-statistic
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Float64 t_stat = (mean_x - mean_y) / sqrt(sx2 / m0 + sy2 / m0);
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Float64 t_stat = (mean_x - mean_y) / sqrt(sx2 / nx + sy2 / ny);
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/// degrees of freedom
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Float64 numerator_sqrt = sx2 / m0 + sy2 / m0;
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Float64 numerator_sqrt = sx2 / nx + sy2 / ny;
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Float64 numerator = numerator_sqrt * numerator_sqrt;
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Float64 denominator_x = sx2 * sx2 / (m0 * m0 * (m0 - 1));
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Float64 denominator_y = sy2 * sy2 / (m0 * m0 * (m0 - 1));
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Float64 denominator_x = sx2 * sx2 / (nx * nx * (nx - 1));
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Float64 denominator_y = sy2 * sy2 / (ny * ny * (ny - 1));
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Float64 degrees_of_freedom = numerator / (denominator_x + denominator_y);
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@ -68,7 +68,7 @@ AggregateFunctionPtr createAggregateFunctionWelchTTest(const std::string & name,
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void registerAggregateFunctionWelchTTest(AggregateFunctionFactory & factory)
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{
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factory.registerFunction("welchTTest", createAggregateFunctionWelchTTest, AggregateFunctionFactory::CaseInsensitive);
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factory.registerFunction("welchTTest", createAggregateFunctionWelchTTest);
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}
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}
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@ -314,24 +314,30 @@ struct CorrMoments
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template <typename T>
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struct TTestMoments
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{
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T m0{};
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T nx{};
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T ny{};
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T x1{};
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T y1{};
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T x2{};
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T y2{};
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void add(T x, T y)
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void add(T value, bool second_sample)
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{
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++m0;
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x1 += x;
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y1 += y;
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x2 += x * x;
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y2 += y * y;
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if (second_sample) {
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++ny;
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y1 += value;
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y2 += value * value;
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} else {
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++nx;
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x1 += value;
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x2 += value * value;
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}
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}
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void merge(const TTestMoments & rhs)
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{
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m0 += rhs.m0;
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nx += rhs.nx;
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ny += rhs.ny;
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x1 += rhs.x1;
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y1 += rhs.y1;
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x2 += rhs.x2;
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14
tests/queries/0_stateless/01558_ttest.reference
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14
tests/queries/0_stateless/01558_ttest.reference
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@ -0,0 +1,14 @@
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0.021378001462867
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0.0213780014628671
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0.090773324285671
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0.0907733242891952
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0.00339907162713746
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0.0033990715715539
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-0.5028215369186904 0.6152361677168877
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-0.5028215369187079 0.6152361677171103
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14.971190998235835 5.898143508382202e-44
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14.971190998235837 0
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-2.610898982580138 0.00916587538237954
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-2.610898982580134 0.0091658753823834
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-28.740781574102936 7.667329672103986e-133
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-28.74078157410298 0
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55
tests/queries/0_stateless/01558_ttest.sql
Normal file
55
tests/queries/0_stateless/01558_ttest.sql
Normal file
File diff suppressed because one or more lines are too long
108
tests/queries/0_stateless/01558_ttest_scipy.python
Normal file
108
tests/queries/0_stateless/01558_ttest_scipy.python
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@ -0,0 +1,108 @@
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#!/usr/bin/env python3
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import os
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import io
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import sys
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import requests
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import time
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import pandas as pd
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import numpy as np
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from scipy import stats
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CLICKHOUSE_HOST = os.environ.get('CLICKHOUSE_HOST', '127.0.0.1')
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CLICKHOUSE_PORT_HTTP = os.environ.get('CLICKHOUSE_PORT_HTTP', '8123')
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CLICKHOUSE_SERVER_URL_STR = 'http://' + ':'.join(str(s) for s in [CLICKHOUSE_HOST, CLICKHOUSE_PORT_HTTP]) + "/"
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class ClickHouseClient:
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def __init__(self, host = CLICKHOUSE_SERVER_URL_STR):
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self.host = host
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def query(self, query, connection_timeout = 1500):
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NUMBER_OF_TRIES = 30
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DELAY = 10
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for i in range(NUMBER_OF_TRIES):
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r = requests.post(
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self.host,
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params = {'timeout_before_checking_execution_speed': 120, 'max_execution_time': 6000},
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timeout = connection_timeout,
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data = query)
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if r.status_code == 200:
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return r.text
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else:
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print('ATTENTION: try #%d failed' % i)
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if i != (NUMBER_OF_TRIES-1):
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print(query)
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print(r.text)
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time.sleep(DELAY*(i+1))
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else:
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raise ValueError(r.text)
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def query_return_df(self, query, connection_timeout = 1500):
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data = self.query(query, connection_timeout)
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df = pd.read_csv(io.StringIO(data), sep = '\t')
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return df
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def query_with_data(self, query, content):
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content = content.encode('utf-8')
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r = requests.post(self.host, data=content)
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result = r.text
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if r.status_code == 200:
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return result
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else:
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raise ValueError(r.text)
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def test_and_check(name, a, b, t_stat, p_value):
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client = ClickHouseClient()
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client.query("DROP TABLE IF EXISTS ttest;")
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client.query("CREATE TABLE ttest (left Float64, right UInt8) ENGINE = Memory;");
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client.query("INSERT INTO ttest VALUES {};".format(", ".join(['({},{}), ({},{})'.format(i, 0, j, 1) for i,j in zip(a, b)])))
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real = client.query_return_df(
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"SELECT roundBankers({}(left, right).1, 16) as t_stat, ".format(name) +
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"roundBankers({}(left, right).2, 16) as p_value ".format(name) +
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"FROM ttest FORMAT TabSeparatedWithNames;")
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real_t_stat = real['t_stat'][0]
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real_p_value = real['p_value'][0]
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assert(abs(real_t_stat - np.float64(t_stat) < 1e-2)), "clickhouse_t_stat {}, scipy_t_stat {}".format(real_t_stat, t_stat)
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assert(abs(real_p_value - np.float64(p_value)) < 1e-2), "clickhouse_p_value {}, scipy_p_value {}".format(real_p_value, p_value)
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client.query("DROP TABLE IF EXISTS ttest;")
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def test_student():
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rvs1 = np.round(stats.norm.rvs(loc=1, scale=5,size=500), 5)
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rvs2 = np.round(stats.norm.rvs(loc=10, scale=5,size=500), 5)
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s, p = stats.ttest_ind(rvs1, rvs2, equal_var = True)
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test_and_check("studentTTest", rvs1, rvs2, s, p)
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rvs1 = np.round(stats.norm.rvs(loc=0, scale=5,size=500), 5)
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rvs2 = np.round(stats.norm.rvs(loc=0, scale=5,size=500), 5)
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s, p = stats.ttest_ind(rvs1, rvs2, equal_var = True)
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test_and_check("studentTTest", rvs1, rvs2, s, p)
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rvs1 = np.round(stats.norm.rvs(loc=0, scale=10,size=65536), 5)
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rvs2 = np.round(stats.norm.rvs(loc=5, scale=1,size=65536), 5)
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s, p = stats.ttest_ind(rvs1, rvs2, equal_var = True)
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test_and_check("studentTTest", rvs1, rvs2, s, p)
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def test_welch():
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rvs1 = np.round(stats.norm.rvs(loc=1, scale=15,size=500), 5)
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rvs2 = np.round(stats.norm.rvs(loc=10, scale=5,size=500), 5)
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s, p = stats.ttest_ind(rvs1, rvs2, equal_var = True)
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test_and_check("studentTTest", rvs1, rvs2, s, p)
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rvs1 = np.round(stats.norm.rvs(loc=0, scale=7,size=500), 5)
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rvs2 = np.round(stats.norm.rvs(loc=0, scale=3,size=500), 5)
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s, p = stats.ttest_ind(rvs1, rvs2, equal_var = True)
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test_and_check("studentTTest", rvs1, rvs2, s, p)
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rvs1 = np.round(stats.norm.rvs(loc=0, scale=10,size=65536), 5)
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rvs2 = np.round(stats.norm.rvs(loc=5, scale=1,size=65536), 5)
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s, p = stats.ttest_ind(rvs1, rvs2, equal_var = True)
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test_and_check("studentTTest", rvs1, rvs2, s, p)
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if __name__ == "__main__":
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test_student()
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test_welch()
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print("Ok.")
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1
tests/queries/0_stateless/01558_ttest_scipy.reference
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1
tests/queries/0_stateless/01558_ttest_scipy.reference
Normal file
@ -0,0 +1 @@
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Ok.
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8
tests/queries/0_stateless/01558_ttest_scipy.sh
Executable file
8
tests/queries/0_stateless/01558_ttest_scipy.sh
Executable file
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#!/usr/bin/env bash
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CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
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. "$CURDIR"/../shell_config.sh
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# We should have correct env vars from shell_config.sh to run this test
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python3 "$CURDIR"/01558_ttest_scipy.python
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