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Faculty of education
Elsa qazi campus
PREPAIRED BY: RABIA ALI
SEAT No # 45
Topic: T-TEST
Assigned by:
dr. amjad ali arain
WHAT IS THE T-TEST
Then, what we intend:
“ to find the difference due to change ”
Logically, the larger the difference in means , the more likely to find a
significant t test
But, recall:
1) variability
MORE (less) variability =less overlap= larger difference
2) Sample size
Larger sample size = less variability (pop)=larger difference
The t-test is any statistical hypothesis test in which the test
statistic follows a Student's t-distribution under the null
hypothesis. A t-test is most commonly applied when the test
statistic would follow a normal distribution if the value of a scaling
term in the test statistic
STUDENT’S T-TEST
IMPORTANCE OF T-TEST
 Provides an objective framework for simple comparative
experiments
 Could be use to test all relevant hypotheses in a two-level
factorial design, because all of these hypotheses involve the
mean response at one “ side ” of the cube versus the mean
response at the opposite “ side "of the cube
APPLICATION
• To compare the mean of a sample with population mean
• To compare the mean of one sample with the mean of another
independent sample
• To compare between the values (reading)of one sample but in 2
occasions.
THE T-TEST ASSUME
• A normal distribution (parametric data)
• Under lying variances are equal (if not ,use welch`s test
• It is use when there is random assignment & only two sets of messurement
to compare
TYPES OF T-TEST
• There are two types of t-test
• Independent measures
• Matched pair t-test
INDEPENDENT MEASURES
when sample are not matched
MATCHED PAIR T-TEST
when sample appair in a pair E.g before and after
 A single sample t-test compares a sample
against a known figure
Fore example :where measures of a
manufactured item are compared against the
required standard
T-Test
T-Test
T-Test

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T-Test

  • 1. Faculty of education Elsa qazi campus PREPAIRED BY: RABIA ALI SEAT No # 45 Topic: T-TEST Assigned by: dr. amjad ali arain
  • 2. WHAT IS THE T-TEST Then, what we intend: “ to find the difference due to change ” Logically, the larger the difference in means , the more likely to find a significant t test But, recall: 1) variability MORE (less) variability =less overlap= larger difference 2) Sample size Larger sample size = less variability (pop)=larger difference
  • 3. The t-test is any statistical hypothesis test in which the test statistic follows a Student's t-distribution under the null hypothesis. A t-test is most commonly applied when the test statistic would follow a normal distribution if the value of a scaling term in the test statistic STUDENT’S T-TEST
  • 4. IMPORTANCE OF T-TEST  Provides an objective framework for simple comparative experiments  Could be use to test all relevant hypotheses in a two-level factorial design, because all of these hypotheses involve the mean response at one “ side ” of the cube versus the mean response at the opposite “ side "of the cube
  • 5. APPLICATION • To compare the mean of a sample with population mean • To compare the mean of one sample with the mean of another independent sample • To compare between the values (reading)of one sample but in 2 occasions.
  • 6. THE T-TEST ASSUME • A normal distribution (parametric data) • Under lying variances are equal (if not ,use welch`s test • It is use when there is random assignment & only two sets of messurement to compare
  • 7. TYPES OF T-TEST • There are two types of t-test • Independent measures • Matched pair t-test INDEPENDENT MEASURES when sample are not matched MATCHED PAIR T-TEST when sample appair in a pair E.g before and after
  • 8.  A single sample t-test compares a sample against a known figure Fore example :where measures of a manufactured item are compared against the required standard