“RPSC ASO Part-B – Numbered Ultra Index.”
RPSC ASO Part-B – Refined Numbered Ultra Index (Syllabus v2.0)
Chapter 1: Collection, Classification, Tabulation, and Presentation of Data
1.1 Collection of Data
1.1.1 Primary Data
1.1.1.1 Definition and Concept
1.1.1.2 Methods of Collection
1.1.1.2.1 Direct Personal Interviews
1.1.1.2.2 Indirect Oral Investigations
1.1.1.2.3 Mailed Questionnaire Method
1.1.1.2.4 Schedules sent through Enumerators
1.1.1.3 Advantages and Disadvantages
1.1.1.4 Key Terms: Respondent, Sample Frame, Population, Pilot Survey, Non-Response Error
1.1.2 Secondary Data
1.1.2.1 Definition and Concept
1.1.2.2 Sources
1.1.2.2.1 Published Sources (Govt. Reports, Journals, Publications of RBI, CSO)
1.1.2.2.2 Unpublished Sources (Records of NGOs, Research Institutions)
1.1.2.3 Limitations and Precautions in Use
1.1.2.4 Key Terms: Official Statistics, Census, Raw Data
1.2 Classification of Data
1.2.1 Qualitative Classification
1.2.1.1 Nominal Scale
1.2.1.2 Ordinal Scale
1.2.1.3 Coding of Attributes
1.2.2 Quantitative Classification
1.2.2.1 Discrete and Continuous Variables
1.2.2.2 Formation of Class Intervals
1.2.2.2.1 Exclusive and Inclusive Methods
1.2.2.2.2 Class Limits, Boundaries, and Mid-Points
1.2.2.3 Frequency Distribution
1.2.2.3.1 Simple Frequency Distribution
1.2.2.3.2 Cumulative Frequency Distribution (Less than & More than)
1.3 Tabulation of Data
1.3.1 Objectives and Parts of a Table
1.3.2 Types of Tables
1.3.2.1 Simple or One-way Table
1.3.2.2 Two-way or Contingency Table
1.3.2.3 Manifold Table
1.3.3 Key Terms: Stub, Caption, Body, Footnote
1.4 Diagrammatic and Graphic Presentation
1.4.1 Line Graphs
1.4.2 Bar Diagrams
1.4.2.1 Simple, Multiple, and Component Bar Diagrams
1.4.3 Pie Diagrams
1.4.4 Histograms and Frequency Polygons
1.4.5 Ogives (Cumulative Frequency Curves)
1.4.6 Box Plots (Introduction)
1.4.7 Key Terms: Scale, Axes, Proportional Representation
Chapter 2: Measures of Central Tendency and Dispersion
2.1 Measures of Central Tendency
2.1.1 Arithmetic Mean
2.1.1.1 For Raw Data
2.1.1.2 For Discrete and Continuous Series (Direct, Short-Cut, Step-Deviation Methods)
2.1.2 Weighted Mean
2.1.3 Geometric Mean
2.1.4 Harmonic Mean
2.1.5 Median (for all types of series)
2.1.6 Mode (for all types of series)
2.1.7 Properties and Comparative Analysis of Averages
2.1.8 Key Terms: Average, Positional Average, Partition Values
2.2 Measures of Dispersion
2.2.1 Range and Coefficient of Range
2.2.2 Quartile Deviation and its Coefficient
2.2.3 Mean Deviation and its Coefficient (from Mean, Median, Mode)
2.2.4 Standard Deviation and Variance
2.2.4.1 For Raw, Discrete, and Continuous Data
2.2.4.2 Combined Standard Deviation
2.2.5 Coefficient of Variation (C.V.)
2.2.6 Key Terms: Variability, Scatter, Relative Measure, Absolute Measure
2.3 Moments, Skewness, and Kurtosis
2.3.1 Moments about Mean and Arbitrary Point
2.3.2 Skewness: Meaning and Types
2.3.2.1 Measures of Skewness (Karl Pearson, Bowley)
2.3.3 Kurtosis: Meaning and Types
2.3.3.1 Measure of Kurtosis (Percentile Coefficient)
Chapter 3: Correlation and Regression Analysis
3.1 Correlation
3.1.1 Meaning and Types (Positive, Negative, No correlation; Linear, Non-linear)
3.1.2 Scatter Diagram
3.1.3 Karl Pearson’s Coefficient of Correlation (r)
3.1.4 Spearman’s Rank Correlation Coefficient (ρ)
3.1.5 Properties of Correlation Coefficient
3.1.6 Key Terms: Perfect Correlation, Correlation and Causation
3.2 Regression
3.2.1 Meaning and Difference from Correlation
3.2.2 Lines of Regression
3.2.3 Regression Coefficients (bxy, byx) and their Properties
3.2.4 Prediction using Regression Equations
3.2.5 Key Terms: Dependent Variable, Independent Variable, Least Squares
Chapter 4: Probability and Probability Distributions
4.1 Basic Concepts of Probability
4.1.1 Random Experiment, Sample Space, Events
4.1.2 Approaches to Probability (Classical, Empirical, Axiomatic)
4.1.3 Theorems of Probability (Addition, Multiplication)
4.1.4 Conditional Probability and Bayes’ Theorem
4.2 Random Variables and Distributions
4.2.1 Discrete and Continuous Random Variables
4.2.2 Probability Mass Function (p.m.f.) and Probability Density Function (p.d.f.)
4.2.3 Mathematical Expectation and Variance
4.2.4 Binomial Distribution
4.2.5 Poisson Distribution
4.2.6 Normal Distribution: Properties and Area under Normal Curve
4.2.7 Key Terms: Expected Value, Standard Normal Variate, Parameters of a Distribution
Chapter 5: Sampling and Statistical Inference
5.1 Sampling Methods
5.1.1 Probability Sampling Methods (SRSWR, SRSWOR, Stratified, Systematic, Cluster, Multistage)
5.1.2 Non-Probability Sampling Methods (Convenience, Judgmental, Quota, Snowball)
5.1.3 Key Terms: Sampling Frame, Sampling Error, Non-Sampling Error
5.2 Theory of Estimation
5.2.1 Point Estimation vs. Interval Estimation
5.2.2 Properties of a Good Estimator (Unbiasedness, Consistency, Efficiency, Sufficiency)
5.2.3 Key Terms: Estimator, Estimate, Confidence Interval, Standard Error
5.3 Testing of Hypothesis
5.3.1 Concepts: Null Hypothesis (H₀), Alternative Hypothesis (H₁), Types of Errors, Level of Significance, p-value
5.3.2 Large Sample Tests
5.3.2.1 Test for Single Mean, Difference of Means, Single Proportion, Difference of Proportions
5.3.3 Small Sample Tests
5.3.3.1 t-test: Single Mean, Difference of Means (Independent and Paired)
5.3.3.2 Chi-square test: Goodness of Fit, Independence of Attributes
5.3.3.3 F-test for Equality of Two Variances
5.3.4 Key Terms: Test Statistic, Critical Region, Degrees of Freedom, One-tailed/Two-tailed Test
Chapter 6: Time Series Analysis
6.1 Components of Time Series
6.1.1 Trend (T)
6.1.2 Seasonal Variations (S)
6.1.3 Cyclical Variations (C)
6.1.4 Irregular Variations (I)
6.1.5 Models of Time Series (Additive, Multiplicative)
6.2 Measurement of Trend
6.2.1 Freehand Curve Method
6.2.2 Semi-Average Method
6.2.3 Moving Average Method
6.2.4 Method of Least Squares (Fitting Linear and Parabolic Trends)
6.3 Measurement of Seasonal Variations
6.3.1 Method of Simple Averages
6.3.2 Ratio to Trend Method
6.3.3 Ratio to Moving Average Method
6.3.4 Link Relative Method
6.3.5 Key Terms: Seasonal Indices, Deseasonalization, Base Period
Chapter 7: Index Numbers
7.1 Concepts and Uses of Index Numbers
7.1.1 Price, Quantity, and Value Index Numbers
7.1.2 Issues in Construction (Selection of Items, Base Period, Weights)
7.1.3 Limitations of Index Numbers
7.2 Methods of Construction
7.2.1 Unweighted Index Numbers
7.2.1.1 Simple Aggregate Method
7.2.1.2 Simple Average of Price Relatives Method
7.2.2 Weighted Index Numbers
7.2.2.1 Laspeyres’ Method
7.2.2.2 Paasche’s Method
7.2.2.3 Fisher’s Ideal Index Method
7.2.2.4 Marshall-Edgeworth Method
7.2.2.5 Kelly’s Method
7.3 Tests of Adequacy of Index Numbers
7.3.1 Time Reversal Test
7.3.2 Factor Reversal Test
7.3.3 Circular Test
7.4 Consumer Price Index (CPI) and Wholesale Price Index (WPI)
7.4.1 Uses of CPI
7.4.2 CPI vs. WPI
Chapter 8: Vital Statistics and Demographic Methods
8.1 Sources of Demographic Data
8.1.1 Census
8.1.2 Civil Registration System (CRS)
8.1.3 Sample Registration System (SRS)
8.1.4 National Family Health Survey (NFHS)
8.2 Measures of Mortality
8.2.1 Crude Death Rate (CDR)
8.2.2 Age-Specific Death Rate (ASDR)
8.2.3 Infant Mortality Rate (IMR)
8.2.4 Maternal Mortality Ratio (MMR)
8.3 Measures of Fertility
8.3.1 Crude Birth Rate (CBR)
8.3.2 General Fertility Rate (GFR)
8.3.3 Total Fertility Rate (TFR)
8.4 Life Tables
8.4.1 Construction of a Life Table
8.4.2 Concepts: lx, dx, qx, ex (Life Expectancy)
8.5 Population Growth and Projection
8.5.1 Rate of Natural Increase
8.5.2 Gross Reproduction Rate (GRR) and Net Reproduction Rate (NRR)
Chapter 9: Indian Statistical System
9.1 Organizations and their Functions
9.1.1 Ministry of Statistics and Programme Implementation (MoSPI)
9.1.2 Central Statistics Office (CSO)
9.1.3 National Sample Survey Office (NSSO)
9.1.4 Registrar General of India (RGI)
9.1.5 NITI Aayog
9.1.6 Reserve Bank of India (RBI)
9.2 Major Publications and Reports
9.2.1 Economic Survey
9.2.2 Statistical Year Book
9.2.3 Reports on National Income, Consumer Price Indices, Industrial Production
9.3 Statistical System of Rajasthan
9.3.1 Directorate of Economics and Statistics (DES)
9.3.2 Major Publications and Surveys
Chapters 10, 11, 12, 13 (Economic Concepts, Economy of Rajasthan, Elementary Mathematics, Basics of Computer) can be structured similarly with detailed numbering for each sub-topic.
Appendices
A. Formula Sheet: A categorized list of all statistical formulas.
B. Statistical Tables: Z-table, t-table, Chi-square table.
C. Sample Survey Forms: NSS Schedule, Census Questionnaire.
D. Solved Previous Year Questions (Topic-wise).
E. Glossary of Key Statistical Terms (Bilingual).
Chapter 10: Economic Concepts and Theories
10.1 Theory of Demand and Supply
10.1.1 Law of Demand
10.1.2 Law of Supply
10.1.3 Demand Schedule and Curve
10.1.4 Supply Schedule and Curve
10.1.5 Key Terms: Ceteris Paribus, Movement along vs. Shift in Curve
10.2 Elasticity of Demand and Supply
10.2.1 Price Elasticity of Demand (Concept, Types, Measurement)
10.2.2 Income Elasticity of Demand
10.2.3 Cross Elasticity of Demand
10.2.4 Elasticity of Supply
10.2.5 Key Terms: Elastic, Inelastic, Unitary Elastic
10.3 Theory of Production and Cost
10.3.1 Factors of Production (Land, Labour, Capital, Entrepreneur)
10.3.2 Production Function (Short-run and Long-run)
10.3.3 Concepts of Cost (Fixed, Variable, Total, Average, Marginal)
10.3.4 Key Terms: Returns to a Factor, Returns to Scale, Economies of Scale
10.4 Market Structures
10.4.1 Perfect Competition (Features, Price Determination)
10.4.2 Monopoly (Features, Price Discrimination)
10.4.3 Monopolistic Competition (Features)
10.4.4 Oligopoly (Features, Cartels)
10.4.5 Key Terms: Market Price, Normal Profit, Abnormal Profit
10.5 National Income and Related Concepts
10.5.1 Definition of National Income
10.5.2 Concepts: GDP, GNP, NNP, PCI (at Factor Cost & Market Price)
10.5.3 Methods of Calculating National Income (Income, Expenditure, Value Added)
10.5.4 Key Terms: Circular Flow of Income, Real vs. Nominal GDP
10.6 Money, Banking and Inflation
10.6.1 Functions of Money
10.6.2 Functions of Commercial Banks and Central Bank (RBI)
10.6.3 Inflation: Types (Demand-Pull, Cost-Push), Causes, Effects
10.6.4 Key Terms: CRR, SLR, Repo Rate, Reverse Repo Rate, Deflation
10.7 Planning and Economic Development
10.7.1 Objectives of Planning in India
10.7.2 NITI Aayog: Objectives and Functions
10.7.3 Sustainable Development Goals (SDGs)
10.7.4 Key Terms: Economic Growth, Economic Development, HDI, Poverty Line
Chapter 11: Economy of Rajasthan
11.1 Salient Features of Rajasthan’s Economy
11.1.1 Primary, Secondary, and Tertiary Sector Contribution
11.1.2 Agricultural Economy (Rain-fed, Cropping Pattern, Low Productivity)
11.1.3 Key Terms: Desert Economy, Livestock-based Economy
11.2 Major Agricultural Resources and Issues
11.2.1 Major Crops (Food grains: Bajra, Maize, Wheat; Cash crops: Mustard, Cotton)
11.2.2 Irrigation (Canals, Tube-wells, Rajiv Gandhi Lift Canal Project)
11.2.3 Agricultural Schemes (Chief Minister’s Krishi Saathi Yojana)
11.2.4 Key Terms: Drought-Prone Area, Indira Gandhi Canal Command Area
11.3 Industrial Sector
11.3.1 Major Industries: Textile, Cement, Marble, Handicrafts
11.3.2 Mineral Resources: Zinc (Zawar mines), Lead, Copper (Khetri), Limestone
11.3.3 Industrial Policies and Institutions (RIICO)
11.3.4 Key Terms: MSME, Khadi and Village Industries, PPP Model
11.4 Infrastructure Development
11.4.1 Energy (Solar Energy – Bhadla Solar Park, Thermal Power)
11.4.2 Transportation (Roads, Railways, Aviation)
11.4.3 Key Terms: DMIC, AMRUT, Smart Cities Mission
11.5 Public Finance and Human Development
11.5.1 State’s Own Tax and Non-Tax Revenue
11.5.2 Central Transfers and State’s Fiscal Deficit
11.5.3 Poverty, Unemployment, and Migration
11.5.4 Key Terms: GSDP, Fiscal Responsibility and Budget Management (FRBM), Per Capita Income
11.6 Major Government Schemes (State and Centrally Sponsored)
11.6.1 Social Security Schemes: Jan Aadhaar Yojana, Chiranjeevi Health Insurance
11.6.2 Agriculture & Allied: PM-KISAN, PM Fasal Bima Yojana
11.6.3 Employment: MGNREGA, SKILL Rajasthan Mission
Chapter 12: Elementary Mathematics
12.1 Number System
12.1.1 Natural Numbers, Whole Numbers, Integers
12.1.2 Rational and Irrational Numbers
12.1.3 Properties of Numbers (Even, Odd, Prime, Composite)
12.1.4 Key Terms: HCF, LCM, Divisibility Rules
12.2 Percentage, Ratio and Proportion
12.2.1 Concept of Percentage and its Applications
12.2.2 Ratio and Proportion (Direct, Inverse)
12.2.3 Partnership
12.2.4 Key Terms: Mean Proportion, Continued Proportion
12.3 Average, Profit and Loss, Discount
12.3.1 Simple and Weighted Average
12.3.2 Cost Price, Selling Price, Profit/Loss Percent
12.3.3 Marked Price, Discount, Successive Discounts
12.3.4 Key Terms: Margin, Break-Even Point
12.4 Simple and Compound Interest
12.4.1 Simple Interest (Calculation, Principal, Rate, Time)
12.4.2 Compound Interest (Annual and Half-yearly Compounding)
12.4.3 Key Terms: Amount, Rate of Interest, Cumulative Interest
12.5 Mensuration: Area and Volume
12.5.1 2D Shapes: Square, Rectangle, Triangle, Circle (Area, Perimeter)
12.5.2 3D Shapes: Cube, Cuboid, Sphere, Cylinder (Volume, Surface Area)
12.5.3 Key Terms: π, Diagonal, Circumference
12.6 Basic Algebra and Statistics
12.6.1 Linear Equations in One Variable
12.6.2 Basic Statistical Concepts (Mean, Median from raw data)
12.6.3 Key Terms: Variable, Constant, Equation, Expression
Chapter 13: Basics of Computers and Information Technology
13.1 Computer Fundamentals
13.1.1 Hardware (Input, Output, CPU, Memory Units)
13.1.2 Software (System SW, Application SW)
13.1.3 Data Representation (Bit, Byte, KB, MB, GB, TB)
13.1.4 Key Terms: RAM, ROM, Hardware Peripherals
13.2 Operating System and GUI
13.2.1 Functions of an Operating System
13.2.2 Basics of Windows OS: Desktop, Icons, Taskbar, File Management
13.2.3 Key Terms: GUI, Multitasking, File Extension
13.3 Word Processing (MS Word)
13.3.1 Creating, Saving, Formatting a Document
13.3.2 Tools: Spell Check, Thesaurus, Mail Merge
13.3.3 Key Terms: Font, Alignment, Header, Footer, Page Layout
13.4 Spreadsheet (MS Excel)
13.4.1 Workbook, Worksheet, Cell, Row, Column
13.4.2 Formulas and Functions (SUM, AVERAGE, IF, VLOOKUP)
13.4.3 Charts and Graphs (Bar, Pie, Line)
13.4.4 Key Terms: Cell Reference, Formula Bar, Sorting, Filtering
13.5 Presentation Software (MS PowerPoint)
13.5.1 Creating Slides (Themes, Templates)
13.5.2 Adding Text, Images, Animation, Transition Effects
13.5.3 Key Terms: Slide Show, Master Slide, Custom Animation
13.6 Computer Networks and Internet
13.6.1 Types of Networks (LAN, WAN, MAN)
13.6.2 Internet & Web Browsing (URL, Website, Browser)
13.6.3 E-mail: Creating Account, Sending/Receiving Mails, Attachments
13.6.4 Key Terms: Modem, Router, ISP, Cloud Storage
13.7 Digital Governance and Security
13.7.1 Overview of e-Governance in India and Rajasthan
13.7.2 Cyber Security Threats (Virus, Phishing) and Prevention (Antivirus)
13.7.3 Key Terms: Digital India, RSAWAS, RSPCERT-IN
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