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我们知道,变分制考试核分和分析试题的难度,要进行大量计算工作,比较费时、费力。如果利用计算机进行统计,只需一次输入考生在每个试题所获得分数a_(ij)即可(i=1,2,…,k;j=1,2,…,n,其中,k表示试题总数,n表示考生总数,i表示题号,j表示考号)。例如,a_(23)表示3号考生在第2题所获的得分点数;a_(ij)就表示j号考生在第i题所获得的分点数。用N_i(i=1,2,…,k)表示每道题所设的得分点数,那么,j号考生在本次考试的成绩就是(sum from i=1 to k a_(ij)/sum form i=1 to k N_i)·d(j=1,2,…,n),d是分制的取值。用p_i,(i=1,2,…k)表示第i道题的难度值,那么,p_i=1-(sum from j=1 to n a_(ij)/n·N_i),(i=1,2,…,k)。例如,某次考试共设10道题,每题所设得分点数分别是5,5,8,10,12,15,18,20,20,25,仅以前6位考生为例,他们的得分点数是:
We know that it is more time-consuming and laborious to carry out a large amount of computational work on the difficulty of grading and analyzing test questions for the VTC. If you use the computer to make statistics, you only need to input the score a_ (ij) obtained by the candidate on each test item once (i = 1,2, ..., k; j = 1,2, ..., n, Total, n said the total number of candidates, i said the title, j said the exam number). For example, a_ (23) represents the number of points obtained by candidate No. 3 on item 2; a_ (ij) represents the number of points obtained by item j on item i. Then we use N_i (i = 1, 2, ..., k) to express the score points of each question, then the result of j in this examination is (sum from i = 1 to k a_ (ij) / sum form i = 1 to k N_i) · d (j = 1,2, ..., n), d is the fractional value. (I = 1 to n a_ (ij) / n · N_i), (i = 1 (i = 1, ..., , 2, ..., k). For example, a test a total of 10 questions, each question points set points are 5,5,8,10,12,15,18,20,20,25, only the first six candidates, for example, their score Points are: