/**
* \brief Executes a two sample T test for the "Planning" example on the exercise sheet.
*/
void StatisticalTesting::planning() {
const double confidenceLevel = 0.95;
const double myPlanner[] = {
90, 104, 142, 143, 121,
190, 92, 93, 166, 110,
191, 122, 129, 176, 110,
45, 78, 166, 173, 115,
197, 63, 156, 124, 98
};
const double baselinePlanner[] = {
56, 92, 145, 117, 121,
91, 147, 174, 122, 111,
143, 142, 189, 129, 92,
112, 122, 120, 125, 200,
137, 147, 89, 101, 108
};
TestCase test;
Hypothesis a("My planner produces longer paths than the baseline.", GREATER);
Hypothesis b("My planner produces shorter paths than the baseline.", LESS);
Hypothesis c("My plans are at most as long as the baseline plans.", AT_MOST);
Hypothesis d("My plans are at least as long as the baseline plans.", AT_LEAST);
Hypothesis e("My plans are as long as the baseline paths.", EQUAL);
Hypothesis f("My plans have different lengths than the baseline paths.", DIFFERENT);
test.setHypothesis(f);
test.setNullHypothesis(e);
twoSampleTTest(arrayToVector(myPlanner), arrayToVector(baselinePlanner),
confidenceLevel, test);
}
/**
* \brief Executes a Z test for the "German students test" example on the slides.
*/
void StatisticalTesting::germanStudentsTest() {
const double testResults[] = {
97, 77, 100, 99, 100, 75, 76, 95, 96, 90,
96, 70, 71, 98, 97, 97, 67, 100, 97, 100,
92, 130, 100, 100, 95, 100, 92, 94, 89,
89, 82, 65, 100, 98, 85, 100, 93, 87, 100,
97, 73, 100, 93, 110, 95, 110, 79, 92, 96,
100, 87, 92, 110, 110, 100
};
const double distributionMean = 100;
const double distributionStandardDeviation = 12;
const double confidenceLevel = 0.95;
TestCase test;
Hypothesis a("Bonn students are better than other students", GREATER);
Hypothesis b("Bonn students are worse than other students", LESS);
Hypothesis c("Bonn students are at least as good as other students", AT_LEAST);
Hypothesis d("Bonn students are at most as good as other students", AT_MOST);
Hypothesis e("Bonn students are as good as other students", EQUAL);
Hypothesis f("Bonn students perform differently from other students", DIFFERENT);
/* TODO: Select a hypothesis and a null hypothesis from the above choices a-f and
* call test.setHypothesis(...) and test.setNullHypothesis(...) with the chosen
* variable.
*/
test.setHypothesis(b);
test.setNullHypothesis(c);
oneSampleZTest(arrayToVector(testResults), distributionMean, distributionStandardDeviation, confidenceLevel, test);
}
/**
* \brief Executes a one sample T test for the "Cars" example on the slides.
*/
void StatisticalTesting::cars() {
const double prices[] = {11492.70, 23848.70, 15096.80, 27376.10, 15576.50};
const double distributionMean = 12000;
const double confidenceLevel = 0.95;
TestCase test;
Hypothesis a("The cars are more expensive than in the rest of the city", GREATER);
Hypothesis b("The cars are cheaper than in the rest of the city", LESS);
Hypothesis c("The cars are at least as expensive as in the rest of the city", AT_LEAST);
Hypothesis d("The cars are at most as expensive as in the rest of the city", AT_MOST);
Hypothesis e("The cars are as expensive as in the rest of the city", EQUAL);
Hypothesis f("The prices of the cars are different from the rest of the city", DIFFERENT);
/* TODO: Select a hypothesis and a null hypothesis from the above choices a-f and
* call test.setHypothesis(...) and test.setNullHypothesis(...) with the chosen
* variable.
*/
test.setHypothesis(a);
test.setNullHypothesis(d);
oneSampleTTest(arrayToVector(prices), distributionMean, confidenceLevel, test);
}
