x = 10, Mean = 75
meas = 7.07
b. Assume reliability is .9:
x = 10, Mean = 75
meas = 3.16
For applicant with a score of 70: There is a 95% chance that his/her true score is: a. 2 (7.07) or 70 14.14 or 55.86 and 84.14
Test Mean S.D. Reliability
Vocab. 10 Comp. 10 Trans. 10 Math. 10 Reas. 10
3 .80 3 .60 3 .90 3 .85 3 .85
rxy with Comp. .65
rxy with Trans. .33 .30
rxy with Math. .60 .55 .35
2 测量的标准误
• Standard Error of Measurement(SEM):测 量误差分布的标准差
• 假设在不受练习或疲劳等因素的影响下, 以同一测验重复测量相同受试者无限多次, 由于随机误差的影响,各测验实得分数与 真实分数的差,会呈正态分布
2.测量的标准误
• σe
SEM x 1 rtt
SEM 和个体测验分数
• 测量误差被假设呈正态分布,因此,可以 用来进行测量分数的区间估计
• For the 95% confidence interval,
X - 1.96 SEM < T < X + 1.96 SEM
SEM 和置信区间
meas = x 1 rtt
a. Assume reliability is .5: