Econometrics Online MCQs Test 7

Prepare for your econometrics exams, quizzes, job interviews, or data analysis roles with this Econometrics Online MCQs Test! This Econometrics Online MCQs Test covers essential topics like multicollinearity, autocorrelation, heteroscedasticity, dummy variables, OLS vs. WLS, VIF, and more. Perfect for students, statisticians, and data analysts, these multiple-choice questions (MCQs) will test your understanding of key econometric concepts and help you identify common violations in regression models. Sharpen your skills and boost your confidence for academic and professional success! Let us start with the Econometrics Online MCQs Test now.

Econometrics Online MCQs Test with Answers

Econometrics Online MCQss Test with Answers

1. The dummy variable trap is caused by

 
 
 
 

2. Heteroscedasticity refers to a situation in which

 
 
 
 

3. In a multiple regression model, the ideal situation is

 
 
 
 

4. The generalized least square estimators for correcting the problem of heteroscedasticity are called:

 
 
 
 

5. In case of perfect multicollinearity, the $X^t X$ is a ————-.

 
 
 
 

6. Which of these tests is suitable for only a  simple regression model

 
 
 
 

7. A variable showing the presence or absence of something is known as

 
 
 
 

8. If the covariance between two variables is positive, then their correlation coefficient will always be

 
 
 
 

9. Which one is not the rule of thumb?

 
 
 
 

10. The range of covariance between two variables is

 
 
 
 

11. Zero tolerance or VIF equal to one indicates

 
 
 
 

12. Which of the following is an indication of the existence of multicollinearity in a model?

 
 
 
 

13. The dummy variable trap can be avoided by

 
 
 
 

14. Eigenvalues can be used for detecting violations of the assumption of

 
 
 
 

15. Negative autocorrelation can be indicated by which of the following?

 
 
 
 

16. Multicollinearity occurs whenever

 
 
 
 

17. Variance inflation factor is a common measure for

 
 
 
 

18. Autocorrelation may occur due to

 
 
 
 

19. Generally, an acceptable value of the variance inflation factor (VIF) is

 
 
 
 

20. Which of the following tests is used to compare OLS estimates and WLS estimates?

 
 
 
 

Econometrics Online MCQs Test with Answers

  • In case of perfect multicollinearity, the $X^t X$ is a ————-.
  • Autocorrelation may occur due to
  • Which of the following tests is used to compare OLS estimates and WLS estimates?
  • The generalized least square estimators for correcting the problem of heteroscedasticity are called:
  • Negative autocorrelation can be indicated by which of the following?
  • Zero tolerance or VIF equal to one indicates
  • Which of the following is an indication of the existence of multicollinearity in a model?
  • Which one is not the rule of thumb?
  • A variable showing the presence or absence of something is known as
  • The dummy variable trap is caused by
  • The dummy variable trap can be avoided by
  • Eigenvalues can be used for detecting violations of the assumption of
  • Variance inflation factor is a common measure for
  • In a multiple regression model, the ideal situation is
  • Generally, an acceptable value of the variance inflation factor (VIF) is
  • If the covariance between two variables is positive, then their correlation coefficient will always be
  • The range of covariance between two variables is
  • Heteroscedasticity refers to a situation in which
  • Which of these tests is suitable for only a  simple regression model
  • Multicollinearity occurs whenever

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Basic Design Experiment MCQs 13

Test your knowledge of statistical methods and experimental designs with this 20-question MCQ quiz! This Basic Design Experiment MCQS Quiz is perfect for students, researchers, and statisticians preparing for exams or job tests. This quiz covers key topics like the Neuman-Keuls Test, one-factor-at-a-time designs, repeated measures design, crossover designs, and more. Assess your understanding of Type I error risks, precision in experiments, and optimal design choices for different research scenarios. Whether you are brushing up on statistical concepts or preparing for competitive tests, this Basic Design Experiment MCQs quiz will help reinforce your expertise. Take the challenge now and see how well you score!

Online Basic Design Experiment MCQs with Answers
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Online Basic Design Experiment MCQs with Answers

  • The Neuman-Keuls Test starts with the difference between pairs of means, starting from the difference of:
  • The Neuman-Keuls Test uses:
  • The risk of type I error may be considerably inflated using:
  • This test requires a greater observed difference to detect significantly different pairs of means:
  • Cramer and Swanson (1973) have conducted ————– studies of a number of multiple comparison methods.
  • One-factor-at-a-time designs can be used when factors are:
  • One-factor-at-a-time designs include:
  • In one-factor-at-a-time designs, we use:
  • If a large fraction of experimental units does not respond, the suitable design is:
  • Precision of a —————- is low if experimental units are not uniform:
  • The design that allocated the maximum degree of freedom to error is:
  • In small experiments where there is a small number of degrees of freedom, the suitable design is:
  • In computer-based experiments, the variation may be easily controlled through sophisticated software. Hence —————— may be successfully applied:
  • Appropriate use of ————— is under conditions where the experimental material is homogeneous.
  • In a repeated measures design, each group member in an experiment is tested for multiple conditions over time or under different conditions
  • A crossover design is where subjects are assigned all treatments, and the results are measured over time, is called:
  • Whether new drugs are effective at different cholesterol levels and at different time intervals, we use:
  • The repeated measures design model is similar to:
  • In a Repeated measures design subjects are ——————.
  • Repeated measures design is an extension of:

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Supervised and Unsupervised Learning

Discover the key differences between supervised and unsupervised learning in this quick Q&A guide. Learn about supervised and unsupervised learning functions, standard approaches, and common algorithms (like kNN vs. k-means). Also, learn about how supervised and unsupervised learning apply to classification tasks. Perfect for beginners in machine learning!”

Supervised and Unsupervised Learning Questions and Answers

What is the function of Unsupervised Learning?

Unsupervised Learning is a type of machine learning where the model finds hidden patterns or structures in unlabeled data without any guidance (no predefined outputs). It’s used for clustering, dimensionality reduction, and anomaly detection. The function of unsupervised learning is:

  • Find clusters of the data
  • Find low-dimensional representations of the data
  • Find interesting directions in data
  • Interesting coordinates and correlations
  • Find novel observations/ database cleaning

What is the function of Supervised Learning?

Supervised Learning is a type of machine learning where the model learns from labeled data (input-output pairs) to make predictions or classifications. It’s used for tasks like regression (predicting values) and classification (categorizing data). The function of supervised learning are:

  • Classifications
  • Speech recognition
  • Regression
  • Predict time series
  • Annotate strings

For the following Scenario about the train dataset, which is based on classification.

You are given a train data set having 1000 columns and 1 million rows. The dataset is based on a classification problem. Your manager has asked you to reduce the dimension of this data so that the model computation time can be reduced. Your machine has memory constraints. What would you do? (You are free to make practical assumptions.)

Processing high-dimensional data on a limited memory machine is a strenuous task; your interviewer would be fully aware of that. The following are the methods you can use to tackle such a situation:

  1. Due to the memory constraints on the machine (CPU has lower RAM), one should close all other applications on the machine, including the web browser, so that most of the memory can be put to use.
  2. One can randomly sample the dataset. This means one can create a smaller data set, for example, having 1000 variables and 300000 rows, and do the computations.
  3. For dimensionality reduction (to reduce dimensionality), one can separate the numerical and categorical variables and remove the correlated variables. For numerical variables, one should use correlation. For categorical variables, one should use the chi-square test.
  4. One can also use PCA and pick the components that can explain the maximum variance in the dataset.
  5. Using online learning algorithms like Vowpal Wabbit (available in Python) is a possible option.
  6. Building a linear model using Stochastic Gradient Descent is also helpful.
  7. One can also apply the business understanding to estimate which predictors can impact the response variable. But this is an intuitive approach; failing to identify useful predictors might result in a significant loss of information.
Supervised and Unsupervised Learning

What is the standard approach to supervised learning?

The standard approach to supervised learning involves:

  1. Labeled Dataset: Input features paired with correct outputs.
  2. Training: The Model learns patterns by minimizing prediction errors.
  3. Validation: Tuning hyperparameters to avoid overfitting.
  4. Testing: Evaluating performance on unseen data.

What are the common supervised learning algorithms?

The most common supervised learning algorithms:

  1. Linear Regression: Predicts continuous values (e.g., house prices).
  2. Logistic Regression: Binary classification (e.g., spam detection).
  3. Decision Trees: Splits data into branches for classification/regression.
  4. Random Forest: An Ensemble of decision trees for better accuracy.
  5. Support Vector Machines (SVM): Find optimal boundary for classification.
  6. k-Nearest Neighbors (k-NN): Classifies based on the closest data points.
  7. Naive Bayes: Probabilistic classifier based on Bayes’ theorem.
  8. Neural Networks: Deep learning models for complex patterns.

How is kNN different from kmeans clustering?

Firstly, do not get misled by ‘k’ in their names. One should know that the fundamental difference between both these algorithms is,

  • kmeans clustering is unsupervised (it is a clustering algorithm)
    The kmeans clustering algorithm partitions a data set into clusters such that a cluster formed is homogeneous and the points in each cluster are close to each other. The algorithm tries to maintain enough separability between these clusters. Due to their unsupervised nature, the clusters have no labels.
  • kNN is supervised in nature (it is a classification (or regression) algorithm)
    The kNN algorithm tries to classify an unlabeled observation based on its k (can be any number ) surrounding neighbors. It is also known as a lazy learner because it involves minimal training of the model. Hence, it doesn’t use training data to generalize to unseen datasets

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