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UPSC ISS Daily Practice Problems 2027
One Day. One Set. Steady Progress.
Instructor: Shyam Agrawal – IIT Bombay Alumnus
Language: English
Daily Practice Problems build the one habit that quietly decides results, which is steady, everyday practice. You get around 200 practice sets and more than 2000 questions across the Statistics papers, released regularly, each with a clear step by step solution. The sets are short on purpose, because doing a little every single day beats long study sessions once in a while. This is how a heavy syllabus slowly turns into a strong score.
Key Highlights
- Around 200 daily practice sets
- More than 2000 questions across the Statistics papers
- Short, focused sets you can finish daily
- Clear step by step solutions for every question
- Paper 4 focused on the four highest scoring sections, which are Demography, Quality Control, Design of Experiments and Multivariate Analysis
- Builds a daily practice streak
What You Will Learn
- How to keep a steady daily practice habit
- How to apply concepts quickly and correctly
- How to spot and remove silly mistakes
- How to strengthen your two chosen Paper 4 sections
- How small daily progress compounds over months
| Start Here | |||
| Introduction | |||
| ISS / Statistics Community | |||
| Download App for Best Experience | |||
| Paper 1 Unit 1 Probability & Distribution | |||
| Probability Basics and Axioms (5 pages) | |||
| Conditional Probability and Independence (6 pages) | |||
| Bayes Theorem and Applications (6 pages) | |||
| Discrete Random Variables and Distribution Functions (6 pages) | |||
| Binomial and Bernoulli Distributions (4 pages) | |||
| Poisson and Geometric Distributions (4 pages) | |||
| Hypergeometric, Negative Binomial and Multinomial Distributions (5 pages) | |||
| Continuous Random Variables, Uniform and Exponential (5 pages) | |||
| Normal Distribution (4 pages) | |||
| Gamma, Beta, Cauchy, Lognormal and Laplace Distributions (6 pages) | |||
| Expectation, Variance and Covariance (4 pages) | |||
| Moment Generating and Characteristic Functions (5 pages) | |||
| Convergence, LLN and Central Limit Theorem (5 pages) | |||
| Order Statistics and Transformations (6 pages) | |||
| Unit 1 Probability - Full Coverage (6 pages) | |||
| Paper 1 Unit 2 Statistical Methods | |||
| Data Collection, Classification and Presentation (5 pages) | |||
| Frequency Distribution and Histogram (4 pages) | |||
| Measures of Central Tendency (4 pages) | |||
| Measures of Dispersion (5 pages) | |||
| Moments, Skewness and Kurtosis (4 pages) | |||
| Karl Pearson Correlation Coefficient (5 pages) | |||
| Rank Correlation (Spearman) (5 pages) | |||
| Partial Correlation (5 pages) | |||
| Multiple Correlation (5 pages) | |||
| Intraclass Correlation and Correlation Ratio (5 pages) | |||
| Linear Regression Analysis (5 pages) | |||
| Polynomial Regression and Curve Fitting (5 pages) | |||
| Distribution of Sample Correlation Coefficient (5 pages) | |||
| Statistical Methods Mixed Review (4 pages) | |||
| Unit 2 Statistical Methods - Full Coverage (6 pages) | |||
| Paper 1 Unit 3 Numerical Analysis | |||
| Finite Differences - Forward, Backward and Central (4 pages) | |||
| Shift and Difference Operator Relations (5 pages) | |||
| Newton Forward Interpolation (4 pages) | |||
| Newton Backward Interpolation (4 pages) | |||
| Gauss, Stirling and Bessel Interpolation (5 pages) | |||
| Lagrange Interpolation (5 pages) | |||
| Divided Difference Interpolation (5 pages) | |||
| Numerical Differentiation (5 pages) | |||
| Trapezoidal Rule (4 pages) | |||
| Simpson's One Third and Three Eighth Rules (5 pages) | |||
| Weddle Rule and Gauss Quadrature (4 pages) | |||
| Bisection and Regula Falsi Methods (5 pages) | |||
| Newton Raphson and Secant Methods (5 pages) | |||
| Euler and Runge Kutta ODE Methods (5 pages) | |||
| Unit 3 Numerical Analysis - Full Coverage (5 pages) | |||
| Paper 1 Unit 4 Computer | |||
| Computer Hardware Components and Specifications (4 pages) | |||
| Memory and Storage (5 pages) | |||
| Number Systems and Data Representation (5 pages) | |||
| Number System Conversions (4 pages) | |||
| Operating Systems and System Software (5 pages) | |||
| Application Software and Statistical Software (5 pages) | |||
| Spreadsheet, Database and Office Software Concepts (5 pages) | |||
| Internet and World Wide Web (4 pages) | |||
| Computer Networks Types (5 pages) | |||
| Network Devices and Communication Media (5 pages) | |||
| Network Protocols (4 pages) | |||
| Network Security and Cyber Threats (5 pages) | |||
| Computer Application Mixed Review (4 pages) | |||
| Unit 4 Computer Application - Full Coverage (6 pages) | |||
| Paper I Full Mock - 80 MCQs (15 pages) | |||
| Paper 2 Unit 1 Linear Models | |||
| Gauss Markov Setup and Theory of Linear Estimation (4 pages) | |||
| Estimability and Estimable Functions (4 pages) | |||
| BLUE - Best Linear Unbiased Estimator (5 pages) | |||
| Normal Equations and Least Squares Estimators (5 pages) | |||
| Estimation of Error Variance (4 pages) | |||
| Generalised Inverse of a Matrix (5 pages) | |||
| Variance and Covariance of Least Squares Estimators (5 pages) | |||
| ANOVA One Way Classification (5 pages) | |||
| ANOVA Two Way Classification (5 pages) | |||
| Fixed Effects Models (5 pages) | |||
| Random Effects Models (5 pages) | |||
| Mixed Effects Models (5 pages) | |||
| Tukey and Scheffe Multiple Comparison Tests (5 pages) | |||
| Duncan, Bonferroni and Student Newman Keuls Tests (5 pages) | |||
| Unit 1 Linear Models - Full Coverage (5 pages) | |||
| Paper 2 Unit 2 Estimation | |||
| Properties of Estimators - Unbiasedness and Consistency (5 pages) | |||
| Efficiency and Sufficiency (Introduction) (5 pages) | |||
| Method of Moments Estimation (4 pages) | |||
| Maximum Likelihood Estimation (5 pages) | |||
| Properties of Maximum Likelihood Estimators (5 pages) | |||
| Minimum Chi Square and Least Squares Methods (5 pages) | |||
| Cramer Rao Inequality and Lower Bound (5 pages) | |||
| Bhattacharya Bounds (5 pages) | |||
| Sufficient Statistics and Factorization Theorem (5 pages) | |||
| Complete Statistics and Minimal Sufficiency (5 pages) | |||
| Rao Blackwell Theorem (4 pages) | |||
| Lehmann Scheffe Theorem and UMVUE (4 pages) | |||
| Confidence Intervals and Pivotal Quantity (5 pages) | |||
| Bootstrap and Jackknife Methods (5 pages) | |||
| Unit 2 Estimation - Full Coverage (5 pages) | |||
| Paper 2 Unit 3 Testing of Hypothesis | |||
| Simple and Composite Hypotheses, Types of Errors (4 pages) | |||
| Power Function and Critical Region (5 pages) | |||
| Most Powerful Tests (5 pages) | |||
| Uniformly Most Powerful Tests (4 pages) | |||
| Neyman Pearson Fundamental Lemma (4 pages) | |||
| Unbiased Tests and Similar Regions (4 pages) | |||
| Randomised Tests (5 pages) | |||
| Likelihood Ratio Tests (5 pages) | |||
| Asymptotic Distribution of the LR Statistic (5 pages) | |||
| Wald's SPRT, OC and ASN Functions (4 pages) | |||
| Non Parametric Tests Sign and Wilcoxon Signed Rank (5 pages) | |||
| Mann Whitney and Kruskal Wallis Tests (4 pages) | |||
| Run Test, Median Test, Kolmogorov Smirnov Test (5 pages) | |||
| Chi Square Goodness of Fit and Independence (5 pages) | |||
| Unit 3 Hypothesis Testing - Full Coverage (5 pages) | |||
| Paper 2 Unit 4 Official Statistics | |||
| Indian Statistical System, MoSPI and NSO (5 pages) | |||
| CSO, NSSO Functions and Major Surveys (4 pages) | |||
| National Statistical Commission and Committees (5 pages) | |||
| Population Census of India (4 pages) | |||
| Civil Registration System and Vital Statistics (5 pages) | |||
| National Income Estimation (4 pages) | |||
| Index Numbers Price Indices, CPI and WPI (4 pages) | |||
| Agricultural and Industrial Statistics (4 pages) | |||
| Labour and Employment Statistics (4 pages) | |||
| Trade, Finance and Banking Statistics (4 pages) | |||
| Education and Health Statistics (4 pages) | |||
| SDG India Index and NITI Aayog Dashboards (4 pages) | |||
| Current Affairs in Official Statistics (4 pages) | |||
| Unit 4 Official Statistics - Full Coverage (5 pages) | |||
| Paper II Full Mock - 80 MCQs (14 pages) | |||
| Paper 3 Unit 1 Sampling Techniques | |||
| Population, Sample and Sampling Frame Basics (5 pages) | |||
| Sampling and Non Sampling Errors (4 pages) | |||
| Simple Random Sampling With Replacement (SRSWR) (5 pages) | |||
| Simple Random Sampling Without Replacement (SRSWOR) (4 pages) | |||
| SRS Variance and Estimation Examples (4 pages) | |||
| Stratified Sampling Basics (4 pages) | |||
| Stratified Sampling Allocation Methods (4 pages) | |||
| Stratified Sampling Optimum Allocation Derivation (4 pages) | |||
| Systematic Sampling Linear and Circular (4 pages) | |||
| Cluster Sampling Equal Clusters (4 pages) | |||
| Cluster Sampling Unequal Clusters (4 pages) | |||
| Multistage Sampling (4 pages) | |||
| Multiphase (Double) Sampling (4 pages) | |||
| Ratio Method of Estimation (4 pages) | |||
| Regression Method of Estimation (4 pages) | |||
| Ratio vs Regression Estimators Comparison (4 pages) | |||
| PPS Sampling Lahiri's Method and Hansen-Hurwitz Estimator (4 pages) | |||
| Applied Sampling The NSSO PLFS Survey Design (4 pages) | |||
| Unit 1 Full Coverage Test Sampling Techniques (5 pages) | |||
| Paper 3 Unit 2 Econometric | |||
| Nature of Econometrics and Types of Data (4 pages) | |||
| General Linear Model Setup and Assumptions (4 pages) | |||
| OLS Estimation and BLUE Properties (Gauss-Markov) (4 pages) | |||
| OLS Goodness of Fit, Testing and Prediction (4 pages) | |||
| Generalised Least Squares (GLS) and the Aitken Estimator (4 pages) | |||
| Heteroscedasticity Consequences and Goldfeld-Quandt Test (4 pages) | |||
| Heteroscedasticity Breusch-Pagan, White and Remedies (4 pages) | |||
| Autocorrelation Causes, Consequences and Durbin-Watson (4 pages) | |||
| Autocorrelation Cochrane-Orcutt, Prais-Winsten and Theil BLUS (4 pages) | |||
| Multicollinearity Nature, Consequences and Detection (4 pages) | |||
| Multicollinearity Remedies and Ridge Regression (4 pages) | |||
| Specification Errors and Omitted Variable Bias (4 pages) | |||
| Dummy Variables and Distributed Lag Models (Koyck) (4 pages) | |||
| Instrumental Variables, Errors-in-Variables and 2SLS (5 pages) | |||
| Simultaneous Equations Identification and Estimation (4 pages) | |||
| Stationarity, Autocorrelation and Partial Autocorrelation (4 pages) | |||
| AR, MA and ARMA Models (4 pages) | |||
| ARIMA and the Box-Jenkins Methodology (4 pages) | |||
| Unit 2 Full Coverage Test Econometrics (4 pages) | |||
| Paper 3 Unit 3 Applied Statistics | |||
| Index Numbers Relatives, Link and Chain Relatives (4 pages) | |||
| Weighted Index Numbers Laspeyres, Paasche, Bowley (4 pages) | |||
| Fisher, Marshall-Edgeworth and Walsh Indices (4 pages) | |||
| Tests for Index Numbers (4 pages) | |||
| Chain Base, Base Shifting, Splicing and Deflation (4 pages) | |||
| Consumer Price Index (CPI) and Wholesale Price Index (WPI) (4 pages) | |||
| Income Distribution Pareto and Engel Curves (4 pages) | |||
| ConcentrationLorenz Curve and the Gini Coefficient (4 pages) | |||
| National Income, Inter-Sectoral Flows and Input-Output (4 pages) | |||
| Demand Analysis (4 pages) | |||
| Time Series Components and Decomposition Models (4 pages) | |||
| Trend Measurement Graphical, Semi-Averages, Moving Averages (4 pages) | |||
| Trend Measurement by the Least Squares Method (4 pages) | |||
| Seasonal Variation Ratio-to-Trend and Ratio-to-Moving-Average (4 pages) | |||
| Link Relative Method and Tests for TrendSeasonality (4 pages) | |||
| Cyclical and Irregular Variations (4 pages) | |||
| Forecasting Exponential Smoothing and Holt-Winters (4 pages) | |||
| Spectral Analysis Periodogram and Correlogram (4 pages) | |||
| Unit 3 Full Coverage Test Applied Statistics (4 pages) | |||
| Paper 3 Mixed | |||
| Cross-Unit Reserve Integrative Problems (5 pages) | |||
| Paper III - Full Paper Mock (7 pages) | |||
| Paper 4 Unit 1 Demography and Vital Statistics | |||
| Paper 4 Unit 2 Statistical Quality Control | |||
| Paper 4 Unit 3 Design and Analysis of Experiments | |||
| Paper 4 Unit 4 Multivariate Analysis | |||
| What's next | |||
| Contact Support | |||
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