## Advance Quantitative Research Methods Universities Past Papers

**Q1: **Mark the following as** True** or **False. ** Do not reproduce the question. Only write True or False against the part number in your answer books.

- The Correlation Coefficient establishes a cause-and-effect relationship between two variables.
- While formulating a hypothesis, we put the desired state as the alternative.
- Standard Normal distribution is a bell-shaped curve symmetric about a horizontal axis.
- Mode represents the frequency rather than magnitude.
- For a sample size of 5, it is possible to have the sample average between the largest and the second Largent observation.
- The blood pressure reading of a patient is an example of continuous data.
- Cross-sectional research is a type of observational study that spreads over long time periods.
- The sample mean is not directly related to the sample size while the sample variance is always expected to reduce with sample size.
- The width of a confidence interval increases if we increase the sample size.
- When we study the behaviour of mice in a laboratory, it is a controlled experiment.
- Continuous variables can be handled through Likert scale.
- If each observation in a sample has a value greater than 5, the sample standard deviation cannot be more than 15.
- , is a two-sided hypothesis.
- Variance, standard deviation and range are measures of central location.

**Q2**: List and briefly discuss the biases in Survey Research.

**Q3: **What is Analysis of Variance and which distribution plays a key role in the use of results of ANOVA.

**Q4**: The following table provides data on a number of students who passed/failed a specific test.

- Construct a hypothesis to analyze the performance of Girls compared to Boys.
- Compute the chi-square statistic using the tabulated data.
- What do we conclude from this high value of chi-square statistic?
- State how many degrees of freedom do we have here for this chi-square test?

Pass | Fail | |

Girls | 65 | 20 |

Boys | 35 | 15 |

**Q5**

- Discuss merits and demerits of rating
- Find the mean, median, mode and range of the following data.

**Q6**: Write short notes on any three of the following:

- Differentiate between descriptive and inferential statistics
- Discuss confounding variables
- List the sources of problems and problem selection strategy
- Relationship between assumptions, hypotheses and postulates
- Blocking of nuisance variables in the design of experiments.