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Exam topics for the oral examination - biostatistics (1st semester)

Exam topics for the oral examination - biostatistics (1st semester)

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Equal variances assumed<br />

Equal variances not<br />

assumed<br />

Independent Samples Test<br />

Levene's Test f or<br />

Equality of Variances<br />

t-test <strong>for</strong> Equality of Means<br />

95% Confidence<br />

Interv al of <strong>the</strong><br />

Mean Std. Error Dif f erence<br />

F Sig. t df Sig. (2-tailed) Dif f erence Dif f erence Lower Upper<br />

4.351 .051 1.634 19 .119 5.27273 3.22667 -1.48077 12.02622<br />

1.604 15.591 .129 5.27273 3.28782 -1.71204 12.25749<br />

Based on <strong>the</strong>se results, decide whe<strong>the</strong>r <strong>the</strong> treatment was effective or not. Explain your decision<br />

(=0.05).<br />

Name of <strong>the</strong> test………….<br />

Null hypo<strong>the</strong>sis………….. Alternative hypo<strong>the</strong>sis…………………..<br />

Assumptions……………..<br />

Result of <strong>the</strong> test<br />

Decision about <strong>the</strong> variances……………<br />

Test statistic, degrees of freedom, p-value………<br />

Decision……………..Interpretation………………….<br />

3. In a study examining eating habits of secondary school girls, <strong>the</strong> body weights were measured in two<br />

Hungarian cities, in Szeged and in Debrecen. The results are in <strong>the</strong> following table:<br />

The means were compared using two - sample t-test .<br />

What is <strong>the</strong> null hypo<strong>the</strong>sis of this test ....................................................................................<br />

.....................................................................................................................................................<br />

Find <strong>the</strong> difference in means: .....................................................<br />

The t-value was t=1.502.<br />

Find <strong>the</strong> value of degrees of freedom ...............................<br />

The p-value was p=0.136<br />

Is <strong>the</strong>re a significant difference between <strong>the</strong> two populations mean at 5% level. ....................<br />

Correlation<br />

1. Based on 5 pairs of data, The coefficient of correlation is r=0.7. Is this correlation significant at 5%<br />

level<br />

Null and alternative hypo<strong>the</strong>sis:………………….<br />

t-value of <strong>the</strong> correlation:......................... Degrees of freedom:...................................<br />

Decision (t-value in <strong>the</strong> table t 3,0.05 =3.182) …………………..<br />

Chi-square tests<br />

1. The following table shows <strong>the</strong> results of placebo and aspirin in an experiment, with <strong>the</strong> number of people<br />

in each treatment group who did and did not develop thromboses. Decide whe<strong>the</strong>r <strong>the</strong> aspirin had or<br />

had not effect on thrombus <strong>for</strong>mation.<br />

Developed thrombi Free of thrombi<br />

Placebo 10 5<br />

Aspirin 10 20<br />

Find <strong>the</strong> value of <strong>the</strong> test statistic, and give your conclusion. (alfa=0.05, 2 table =3.84)<br />

Nullhipo<strong>the</strong>sys ……………………Assumption ………………………………<br />

Test statistic: ……………………..<br />

Degrees os freedom: ……………………<br />

Decision about <strong>the</strong> significance: …………………..: ………………………..<br />

Interpretation: ………………….<br />

3

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