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Www graphpad com quickcalcs ttest1 cfm

22/12/2020 Client: saad24vbs Deadline: 2 Day

BIO A01H3 Y Fall 2017


Guide to Preparing and Interpreting the Result of your Student’s t-Test


You can either do the t-tests on licensed statistical programs on computers in UTSC’s computer stats


labs or you can use free online ‘plug-in’ programs such as the one found at


http://www.graphpad.com/quickcalcs/ttest1.cfm?Format=C


The step-by-step instructions below are based on the latter graph pad program. Read the website


thoroughly, and consider what boxes should be selected given the data set.


Step 1: What is your H1? What is your H0? The standard rule for a t-test is that if your Sample


statistic falls within 95% of the range of values expected for H0 , then you fail to reject H0, and


there is no difference between your value and the value expected under H0. Remember that if


your Sample statistic falls beyond the 95% range, in the “tails” of the expected distribution,


then you reject H0 because it is unlikely that your Sample statistic is drawn from the same


range of values as H0. In other words, the two groups you are comparing in your t-test are


different. Just because your data is different does not necessarily mean that the finding


supports H1. Whether or not H1 is supported by your data is an interpretation that you should


address in your Discussion!


Step 2: Find your degrees of freedom (df) in Table 2 below. Go across that row to find the


Critical t-value under α= 0.05. Note this value in your Worksheet.


Step 3: Compare your Calculated t-test statistic to the Critical t-test value. Is larger or


smaller? Follow the guidelines under Table 1 below to draw your statistical conclusion.


http://www.graphpad.com/quickcalcs/ttest1.cfm?Format=C

Table 1: Table of Critical t Values of Student's t Distribution with df Degrees of Freedom.


α (2 tail) = 0.2 0.1 0.05 0.02 0.01


df


1 3.078 6.314 12.706 31.819 63.655


2 1.886 2.920 4.303 6.965 9.925


3 1.638 2.353 3.182 4.541 5.841


4 1.533 2.132 2.776 3.747 4.604


5 1.476 2.015 2.571 3.365 4.032


6 1.440 1.943 2.447 3.143 3.707


7 1.415 1.895 2.365 2.998 3.500


8 1.397 1.860 2.306 2.897 3.355


9 1.383 1.833 2.262 2.821 3.250


10 1.372 1.812 2.228 2.764 3.169


11 1.363 1.796 2.201 2.718 3.106


12 1.356 1.782 2.179 2.681 3.055


13 1.350 1.771 2.160 2.650 3.012


14 1.345 1.761 2.145 2.625 2.977


15 1.341 1.753 2.131 2.603 2.947


16 1.337 1.746 2.120 2.584 2.921


17 1.333 1.740 2.110 2.567 2.898


18 1.330 1.734 2.101 2.552 2.878


19 1.328 1.729 2.093 2.540 2.861


20 1.325 1.725 2.086 2.528 2.845


21 1.323 1.721 2.080 2.518 2.831


22 1.321 1.717 2.074 2.508 2.819


23 1.319 1.714 2.069 2.500 2.807


24 1.318 1.711 2.064 2.492 2.797


25 1.316 1.708 2.060 2.485 2.787


26 1.315 1.706 2.056 2.479 2.779


27 1.314 1.703 2.052 2.473 2.771


28 1.313 1.701 2.048 2.467 2.763


29 1.311 1.699 2.045 2.462 2.756


30 1.310 1.697 2.042 2.457 2.750


31 1.309 1.696 2.040 2.453 2.744


32 1.309 1.694 2.037 2.449 2.739


33 1.308 1.692 2.035 2.445 2.733


34 1.307 1.691 2.032 2.441 2.728


35 1.306 1.690 2.030 2.438 2.724


36 1.306 1.688 2.028 2.435 2.720


37 1.305 1.687 2.026 2.432 2.715


38 1.304 1.686 2.024 2.429 2.712


39 1.304 1.685 2.023 2.426 2.708


40 1.303 1.684 2.021 2.423 2.705


Table 2. Guide for interpreting Calculated t Values and Probability Values from Excel.


Method 1


Method 2


Conclusion


if


t


>


t


Critical (in Table 2)


if


p < 0.05


then


reject Ho


if t < t Critical (in Table 2) if p > 0.05 then fail to reject Ho


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