706 Making sense of principal component analysis, eigenvectors & eigenvalues 2010-09-15T20:05:55.993

329 What is the intuition behind beta distribution? 2013-01-15T15:31:41.730

211 How to understand degrees of freedom? 2011-10-12T20:16:52.280

204 How would you explain Markov Chain Monte Carlo (MCMC) to a layperson? 2010-07-19T23:21:05.320

198 What is the meaning of p values and t values in statistical tests? 2010-07-19T19:28:44.903

153 How would you explain covariance to someone who understands only the mean? 2011-11-07T19:41:45.283

115 What intuitive explanation is there for the central limit theorem? 2010-10-19T02:14:32.050

101 Numerical example to understand Expectation-Maximization 2013-10-14T22:37:36.997

98 Bottom to top explanation of the Mahalanobis distance? 2013-06-19T12:41:02.850

84 Difference between standard error and standard deviation 2012-07-15T10:21:12.040

76 Intuitive explanation of unit root 2012-05-24T22:07:17.407

74 Is there an intuitive explanation why multicollinearity is a problem in linear regression? 2010-08-02T22:42:32.947

73 Why do we need $\sigma$-algebras to define probability spaces? 2016-03-01T09:44:19.590

67 Maximum Likelihood Estimation (MLE) in layman terms 2014-08-19T12:46:29.950

65 Understanding "variance" intuitively 2011-10-25T21:28:47.460

60 Statistics interview questions 2010-12-14T06:20:48.903

56 What's so 'moment' about 'moments' of a probability distribution? 2011-10-26T21:54:59.040

53 What is meant by a "random variable"? 2010-07-19T19:37:31.873

53 Does 10 heads in a row increase the chance of the next toss being a tail? 2015-02-09T08:15:14.597

50 What is the role of the logarithm in Shannon's entropy? 2014-02-19T17:33:54.330

46 Can simple linear regression be done without using plots and linear algebra? 2016-04-01T12:48:16.650

44 Why does the correlation coefficient between X and X-Y random variables tend to be 0.7 2013-03-06T10:58:36.677

44 Why does shrinkage work? 2015-11-02T20:29:19.020

42 Intuition behind why Stein's paradox only applies in dimensions $\ge 3$ 2011-07-26T08:54:45.653

34 The Monty Hall Problem - where does our intuition fail us? 2010-07-21T04:30:50.663

34 Intuitive explanation for density of transformed variable? 2011-08-18T18:42:22.570

31 What is the intuition behind SVD? 2015-10-15T17:17:48.860

30 Intuition on the Kullback-Leibler (KL) Divergence 2016-01-01T17:03:42.140

29 Can someone explain the concept of 'exchangeability'? 2010-10-12T14:59:04.240

29 What is an intuitive explanation for how PCA turns from a geometric problem (with distances) to a linear algebra problem (with eigenvectors)? 2016-06-08T22:20:31.550

28 What are i.i.d. random variables? 2011-02-07T13:59:06.877

28 What is the intuition behind the formula for conditional probability? 2018-02-01T13:44:30.760

26 Where does $\sqrt{n}$ come from in central limit theorem (CLT)? 2012-09-11T17:25:24.990

24 What's the difference between a probability and a proportion? 2010-08-11T07:24:02.763

22 What is the difference between finite and infinite variance 2014-04-19T22:16:24.700

21 What is the distribution of $R^2$ in linear regression under the null hypothesis? Why is its mode not at zero when $k>3$? 2014-12-23T00:54:06.077

20 Seeking certain type of ARIMA explanation 2011-01-25T02:19:35.050

20 Geometric interpretation of penalized linear regression 2012-06-14T15:05:13.710

20 What is the logic behind method of moments? 2014-12-15T15:03:10.020

19 What kind of information is Fisher information? 2016-02-14T21:42:21.417

17 Sufficient statistics for layman 2012-11-20T21:19:05.797

17 Intuition behind tensor product interactions in GAMs (MGCV package in R) 2012-12-08T21:30:24.430

17 Why are symmetric positive definite (SPD) matrices so important? 2016-07-15T19:13:41.140

16 E-M, is there an intuitive explanation? 2010-07-24T19:25:59.147

16 Intuition behind standard deviation 2014-02-04T11:55:12.890

16 Geometric understanding of PCA in the subject (dual) space 2015-11-10T22:36:27.967

16 Intuition (geometric or other) of $Var(X) = E[X^2] - (E[X])^2$ 2017-01-03T18:40:19.067

15 Why is the standard deviation defined as sqrt of the variance and not as the sqrt of sum of squares over N? 2014-09-22T17:10:30.133

15 For what (symmetric) distributions is sample mean a more efficient estimator than sample median? 2015-02-07T03:20:56.053

15 Idea and intuition behind quasi maximum likelihood estimation (QMLE) 2015-12-05T11:06:36.100

15 Is there any intuitive explanation of why logistic regression will not work for perfect separation case? And why adding regularization will fix it? 2016-10-13T03:30:42.927

14 The operation of chance in a deterministic world 2012-06-01T22:33:54.470

14 How to develop intuition for conditional probability? 2014-08-26T15:19:24.460

14 Intuitive explanation of convergence in distribution and convergence in probability 2015-01-23T19:38:41.823

14 Bayes' Theorem Intuition 2016-10-07T17:15:53.057

13 Intuition for higher moments in circular statistics 2010-08-06T10:57:18.820

13 Odds made simple 2015-11-25T04:00:31.577

12 Making sense of independent component analysis 2015-07-20T12:51:55.520

12 What is the intuition behind defining completeness in a statistic as being impossible to form an unbiased estimator of $0$ from it? 2016-02-15T01:00:23.953

12 Typical set concept 2016-09-09T18:55:13.257

12 An intuitive explanation why the Benjamini-Hochberg FDR procedure works? 2017-04-29T20:48:54.607

11 How to understand SARIMAX intuitively? 2013-06-17T07:28:32.837

11 Why is the CDF of a sample uniformly distributed 2015-07-15T16:33:39.193

11 For intuition, what are some real life examples of uncorrelated but dependent random variables? 2015-12-26T03:50:36.210

11 Intuitively understand why the Poisson distribution is the limiting case of the binomial distribution 2017-02-10T13:49:18.487

11 Intuition about parameter estimation in mixed models (variance parameters vs. conditional modes) 2018-01-27T11:04:00.560

10 How to understand a convolutional deep belief network for audio classification? 2010-07-23T19:45:45.270

10 Why is the Poisson distribution chosen to model arrival processes in Queueing theory problems? 2011-11-23T03:00:31.910

10 Understanding distance correlation computations 2015-11-25T16:04:39.320

9 Explain data visualization 2010-07-19T19:34:42.643

9 Whither bootstrapping - can someone provide a simple explanation to get me started? 2010-08-20T00:10:33.740

9 Frequentist statistics references for someone well versed in modern probability theory 2012-09-27T06:24:19.730

9 Intuition and uses for coefficient of variation 2012-10-30T17:49:43.947

9 Conceptual distinction between heteroscedasticity and non-stationarity 2013-01-22T23:10:16.637

9 What is the intuition behind the variation of information (VI) metric for cluster validation? 2013-11-19T17:37:56.733

9 Why is $E[Z|Z>c] = \int_c^\infty z_i \phi({z_i})\mathrm{d}z_i $ ($Z$ is censored) 2014-02-12T20:27:16.923

9 Clustering -- Intuition behind Kleinberg's Impossibility Theorem 2015-09-20T08:29:34.097

8 What is the intuition behind the score function? 2011-11-24T12:17:33.660

8 Is there an intuitive characterization of distance correlation? 2014-03-05T15:52:18.833

8 What is MA(q) model input in real world? 2014-04-23T13:17:00.287

8 What is Cronbach's Alpha intuitively? 2015-08-11T14:01:06.770

8 Why is sum of squared residuals non-increasing when adding explanatory variable? 2015-08-19T08:08:22.540

8 What is the intuition behind the expected transaction value for a customer in the gamma-gamma model? 2015-11-02T17:07:37.513

8 Central limit theorem and the Pareto distribution 2016-01-27T02:25:52.750

8 Real life examples of difference between independence and correlation 2016-03-02T08:38:18.323

8 Why is the standard error of a proportion, for a given n, largest for 0.5? 2017-06-08T00:49:05.000

8 What is the difference between moment generating function and probability generating function? 2017-08-13T14:04:47.033

8 What is the intuitive meaning behind plugging a random variable into its own pdf or cdf? 2018-02-27T19:01:45.333

7 Deep Learning Networks: Fundamental differences 2013-09-25T19:12:47.140

7 Demonstration of central limit theorem 2014-11-11T22:42:32.957

7 How to understand the geometric intuition of the inner workings of neural networks? 2016-02-14T23:04:50.587

7 What is Epsilon Convergence in Probability? 2016-10-27T16:46:54.697

6 Conditional Expectation of Multivariate Distributions 2012-10-04T23:15:04.177

6 What is the intuition behind (M)ANCOVA and when/why should one use it? 2013-10-25T00:54:47.617

6 Why does statistical significance increase with data, BUT the effects may not be meaningful? 2013-12-11T23:31:05.823

6 What is the meaning of the density of a distribution at a point? 2014-02-13T20:21:44.393

6 How can multiple regression be performed as a sequence of univariate regressions? 2014-05-12T21:02:55.437

6 Is the degrees-of-freedom explanation for Bessel's correction in unbiased sample variance wrong? 2015-04-12T10:25:26.553

6 intuition behind exchangeability property, and its use in statistical inference 2015-12-31T15:41:16.373