Here’s a list of important interview questions in statistics that are commonly asked in the context of Machine Learning:
1. Descriptive Statistics
- What is the difference between mean, median, and mode?
- How do you handle outliers in a dataset?
- What are the different measures of central tendency?
- What is the standard deviation, and how is it different from variance?
- Explain skewness and kurtosis.
2. Probability
- What is the difference between probability and likelihood?
- Explain Bayes’ Theorem with an example.
- What are conditional probability and joint probability?
- What is the Law of Large Numbers?
- What are prior, likelihood, and posterior probabilities?
3. Probability Distributions
- Explain the difference between a discrete and continuous probability distribution.
- What is a normal distribution, and why is it important in statistics?
- Explain the Central Limit Theorem and its significance.
- What is the difference between a uniform distribution and a normal distribution?
- Describe the binomial distribution and provide a practical example.
4. Hypothesis Testing
- What is a null hypothesis and an alternative hypothesis?
- Explain p-value and its significance in hypothesis testing.
- What are Type I and Type II errors?
- What is a confidence interval, and how is it constructed?
- Explain the concept of statistical power in hypothesis testing.
5. Correlation and Regression
- What is the difference between correlation and causation?
- How is correlation coefficient interpreted?
- Explain the concept of multicollinearity in regression.
- What is the difference between linear and logistic regression?
- How do you interpret the coefficients in a linear regression model?
6. Sampling and Estimation
- What is the difference between a sample and a population?
- Explain different sampling techniques like random sampling, stratified sampling, and cluster sampling.
- What is the difference between point estimation and interval estimation?
- What is bias in sampling, and how can it affect your results?
- How do you ensure that a sample is representative of the population?
7. ANOVA (Analysis of Variance)
- What is ANOVA, and when is it used?
- What are the assumptions of ANOVA?
- Explain the difference between one-way and two-way ANOVA.
- What is the F-statistic in ANOVA, and how is it interpreted?
- When would you use an ANOVA test instead of a t-test?
8. Chi-Square Test
- What is the Chi-Square test, and when is it used?
- How do you interpret the results of a Chi-Square test?
- What are the assumptions of the Chi-Square test?
- Explain the difference between a Chi-Square test for independence and a Chi-Square goodness-of-fit test.
9. Time Series Analysis
- What is stationarity in a time series, and why is it important?
- Explain autocorrelation and partial autocorrelation in time series.
- What is ARIMA, and how is it used in time series forecasting?
- What are trend, seasonality, and noise in time series data?
- How do you handle missing values in time series data?
10. Decision Trees and Random Forest
- How does a decision tree make decisions?
- Explain Gini impurity and entropy in the context of decision trees.
- What is overfitting, and how can it be prevented in decision trees?
- How does a random forest model reduce the risk of overfitting?
- What are the advantages and disadvantages of using decision trees?
11. Bias-Variance Tradeoff
- What is the bias-variance tradeoff?
- Explain how bias and variance affect the model performance.
- How do you reduce high variance or high bias in a model?
- What is cross-validation, and how does it help in managing bias-variance tradeoff?
12. Model Evaluation Metrics
- What is the difference between accuracy, precision, and recall?
- Explain the ROC curve and AUC.
- What is F1 score, and when should it be used?
- How do you evaluate a classification model?
- What is the confusion matrix, and how is it interpreted?
13. Clustering
- What is clustering, and when is it used?
- Explain the difference between k-means and hierarchical clustering.
- How do you determine the optimal number of clusters in k-means clustering?
- What is the silhouette score in clustering?
- Explain the difference between supervised and unsupervised learning with examples.
These questions cover a wide range of topics in statistics that are fundamental to Machine Learning and Data Science. Preparing well for these questions will give you a solid foundation for technical interviews in this field.