1. Exploratory Data Analysis
1.3. EDA Techniques
1.3.6. Probability Distributions
1.3.6.7. Tables for Probability Distributions

1.3.6.7.5.

Critical Values of the t* Distribution

How to Use This Table

This table contains upper critical values of the t* distribution that are appropriate for determining whether or not a calibration line is in a state of statistical control from measurements on a check standard at three points in the calibration interval. A test statistic with ν degrees of freedom is compared with the critical value. If the absolute value of the test statistic exceeds the tabled value, the calibration of the instrument is judged to be out of control.

Upper critical values of t* distribution at significance level 0.05 for testing the output of a linear calibration line at 3 points

      ν                 ν      

      1     37.544            61      2.455
      2      7.582            62      2.454
      3      4.826            63      2.453
      4      3.941            64      2.452
      5      3.518            65      2.451
      6      3.274            66      2.450
      7      3.115            67      2.449
      8      3.004            68      2.448
      9      2.923            69      2.447
     10      2.860            70      2.446
     11      2.811            71      2.445
     12      2.770            72      2.445
     13      2.737            73      2.444
     14      2.709            74      2.443
     15      2.685            75      2.442
     16      2.665            76      2.441
     17      2.647            77      2.441
     18      2.631            78      2.440
     19      2.617            79      2.439
     20      2.605            80      2.439
     21      2.594            81      2.438
     22      2.584            82      2.437
     23      2.574            83      2.437
     24      2.566            84      2.436
     25      2.558            85      2.436
     26      2.551            86      2.435
     27      2.545            87      2.435
     28      2.539            88      2.434
     29      2.534            89      2.434
     30      2.528            90      2.433
     31      2.524            91      2.432
     32      2.519            92      2.432
     33      2.515            93      2.431
     34      2.511            94      2.431
     35      2.507            95      2.431
     36      2.504            96      2.430
     37      2.501            97      2.430
     38      2.498            98      2.429
     39      2.495            99      2.429
     40      2.492           100      2.428
     41      2.489           101      2.428
     42      2.487           102      2.428
     43      2.484           103      2.427
     44      2.482           104      2.427
     45      2.480           105      2.426
     46      2.478           106      2.426
     47      2.476           107      2.426
     48      2.474           108      2.425
     49      2.472           109      2.425
     50      2.470           110      2.425
     51      2.469           111      2.424
     52      2.467           112      2.424
     53      2.466           113      2.424
     54      2.464           114      2.423
     55      2.463           115      2.423
     56      2.461           116      2.423
     57      2.460           117      2.422
     58      2.459           118      2.422
     59      2.457           119      2.422
     60      2.456           120      2.422