Abstract
The paper looks at implementing the probability theory and mathematical statistics while analyzing the outcomes of the unified state examination (USE). The research is aimed at investigating the impact of closed questions that make the greater part of USE, on test results. The methodology is based on so called Bernoulli’s trial. The research findings demonstrate the higher probability of incidental right answers to the closed questions compared with the open ones. The author makes a conclusion that the considerable number of closed questions in the test can misrepresent the final result which tends to improve. The proposed method of statistic analysis can provide the explanation for the USE results anomalies, evaluate the quality of examination materials and scoring system, and give the quantified assessment of social implications.
Highlights
The paper looks at implementing the probability theory and mathematical statistics while analyzing the outcomes of the unified state examination (USE)
The proposed method of statistic analysis can provide the explanation for the USE results anomalies, evaluate the quality of examination materials and scoring system, and give the quantified assessment of social implications
Почему закрытые вопросы столь явно обнаруживали себя в математике, хотя в контрольно-измерительных материалах (КИМах) по остальным предметам они составляют почти половину тестовой работы?2 В нашем вопросе содержится ответ: из-за малого их числа общее распределение участников по баллу распадалось на две части
Summary
The paper looks at implementing the probability theory and mathematical statistics while analyzing the outcomes of the unified state examination (USE). В силу ограниченности данных об участниках экзамена [4] отчеты ФИПИ не дают ответа, как и почему достигнуты те или иные результаты. Большинство заданий ЕГЭ – закрытые, чаще всего с четырьмя (в иностранном языке – с тремя) готовыми альтернативными ответами1. Предполагающие краткую самостоятельную формулировку ответа (обычно в части В), на самом деле, как правило, также закрытые, хотя имеют множественный выбор.
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