Question
Multivariate analysis
Answer :
Word Count : 1349
__________ ____ __________ _______ _______ __________ _______ ____ ______ ____ __________.
_______ ___ ___ _________ __________ ___.
______ __________ ___ _____ _____ _________ ______ ______ ___ __________ _________ _________.
__________ _____ __________ _________ _____ ___ ______.
_________ ____ __________ ______ _________ _________ ____ ________ ______.
____ __________ __________ _________ __________ _______ ___.
_________ _________ ________ _______ _________.
________ _____ _____ ___ ___ ____ _____.
__________ ______ _________ ____ ___ ______ ___.
_________ _________ _______ _____ __________ __________ __________ ___.
_________ _____ ________ __________ ______ ________ _________.
____ ________ _________ ___ ________ ________ _________ _________ _____.
_______ _______ _______ _____ ____ ____ ____ ___ ______.
_______ ____ ___ __________ _________ ______.
_____ ____ ___ ______ ________ _____ ___ ____ _____.
____ __________ __________ _______ _________ __________ _____ _______ ______ ________.
__________ ________ ________ _________ _________ ____ __________.
_____ __________ ____ ________ _________ _____ ______ __________ _____.
___ ____ _______ ________ _____ ______ ____.
______ ______ ________ _________ ______ ________ _____.
_____ __________ _________ ______ ____ __________ ___ ________ ____ ___ ____.
________ _______ _________ ___ ________ ____.
______ ___ _____ ________ ____ _______ _________.
________ __________ __________ _______ ________.
_________ ________ _________ __________ __________ __________ ______ ________ ___.
________ _________ _____ _____ _______ ____ __________ _____.
_________ _______ _______ _________ ____ ______.
_____ __________ ________ __________ _________.
___ ____ __________ ____ ________ ____ ___ ________ ________ ________.
___ _________ _____ _____ ________ ____.
_______ ____ ________ ______ ___ _________ __________ _____ ______ _________ ________.
__________ ___ _________ __________ _______ ________ _______ __________ _________ ___.
_______ ______ __________ ____ ________ _____ ____.
_________ __________ ______ _______ ______.
_________ _________ _____ ______ ________ ______ _____ _______ ________.
____ ______ _________ ______ ___.
____ __________ _________ _____ __________ __________ __________ ____ _____ ___ _______ ________.
_________ _________ __________ __________ ___ ________.
_______ ____ ________ _______ ____ __________ _________ _____ _____ _____ ________.
__________ ______ _______ _____ ______ _______ ______.
______ ____ ________ ___ ____ ___.
__________ _____ __________ ____ _________ _________ _________ __________ ___ ________ _______.
__________ _____ __________ ____ ________ _____ ______ __________ _______ ____ _________ _________.
______ _________ ______ __________ _________.
_________ ___ ________ _______ ____ ____ ______.
_____ ______ _________ ___ _________ ___ ________ _________.
___ _______ ___ ____ ________ ______ ___ ____ ______ ________ __________ ________.
____ _____ ____ __________ ___ _____ __________ _____ ____ _____ ___ ________.
________ ___ _________ __________ __________ ______ _________ ____ __________ ___ ________.
____ ____ __________ ___ _____ _____ ______ ____ _______ _____ _________.
________ ______ __________ ________ ________.
_____ __________ _________ ___ ____ ____ _______ ______ ____.
_____ ___ _________ ______ _____ _____ ____ ___.
___ __________ __________ ___ _________ _______.
_________ _____ __________ ___ ____ ________ _________.
_______ _____ ________ ___ _________ _______ _________ _________ _______ ____ __________.
_______ _____ ______ ___ ______ _______ ______ _____.
________ __________ ________ ______ ________ __________ ______ _____ _________ _________.
__________ ___ _____ ___ ________ _______ ________.
_________ __________ _____ _____ ______ ______ ________ __________ ________.
________ _________ ___ ________ _____ _________ _______ ____ _____ __________ ____.
__________ ____ ___ ________ __________ ____ ____.
___ ____ _________ ________ ___ ________ ______ _______.
_______ ___ _______ ___ _______ _______ _______ ___ _____.
__________ _____ ______ ___ ___ ____ ______ __________ ___.
____ __________ ____ ________ ___ ____ ____ ________ _________ _______.
______ ______ _________ _______ __________.
_____ _____ ______ ___ _____ __________ _________ ____ ___ ________ _______ ________.
__________ _________ ________ ____ _________.
_________ ____ ________ ___ _____.
________ ______ _________ _________ _______ ___ ____ _________ ____ ______ _____.
__________ ___ ______ ______ ___ _________ _______ ________.
________ ________ _________ _____ _______ ____ __________ _____ _________ __________ ____.
____ ________ ___ _______ _________ __________ _______ _____.
________ _______ _____ ____ _______ _____ ___ ___ _________ _________ ________ _____.
_____ ____ _____ ___ _______ _________ _______.
__________ ______ _______ _________ ____ _________ ______ ____ __________ __________.
____ ___ ___ _____ ____ _______ ___ ______.
____ ____ ________ _________ ________.
_____ ___ ____ ____ __________ _____ ___ __________ ____ __________ ______.
______ ________ ______ ______ _____ ____ ___ ________ ________ _______ ____ _______.
_______ _______ _____ ___ ____ _________.
_____ __________ _______ ______ __________ _________ _____ ______.
____ _______ __________ ______ __________ _______ __________ _______.
________ ___ _________ _____ __________ ________.
____ _______ ________ ________ ____.
_______ ___ __________ ____ __________ ____ ______.
_________ ______ ______ ________ __________ ______ ______ _______ ___ _______ ___ ___.
______ ___ _______ ______ ________ ________ __________.
___ _______ __________ ____ ____ __________ ______ _________ ____ _________.
__________ ______ ________ __________ ___ _______ ________ _________ ________ ________ ____.
___ __________ __________ __________ _____ _________ ____ _______ ______ ____ _________ __________.
______ ______ _____ ___ ________ _________ _________ ____ ________ ____ _________ _______.
__________ __________ ___ ______ _________.
______ ______ _______ __________ _______ ___ ________.
_________ __________ _____ _______ _________ _____ ____ ________ ______ __________.
___ _____ _________ _________ ________ __________.
___ _______ __________ ______ ______ ____.
____ _______ ______ ____ ______ _________.
___ _____ ____ _________ ____ __________ _____ ____ _______.
______ ______ ________ ________ ___.
_______ _______ ______ ________ ______ ___ __________ _______ _____ ______.
_________ ___ ___ _________ ____ _________ _______ _________ ________ _________.
________ ___ ___ ______ _______ ________ _____ ____ ___.
____ _______ _______ _________ ________ ____ _____ _____.
___ ____ ___ __________ ______ ________.
____ ________ _____ ____ _______ ____ ____ __________ ________ ________ _____.
_____ ____ _____ ______ ____ ______ _____ ____ _____ ____ _______.
_______ ____ _________ _________ _________ ________ ___ ___ ______ __________.
____ _____ ________ ______ ________ ____ _____ _____ ______ _______ _____.
______ ___ _____ _______ _______ ________.
___ ____ _________ ________ ____.
__________ ___ _________ __________ _______.
_______ ___ _________ ___ ________ ___ _____ _______ ________ _____ ___.
__________ _____ ___ ____ ________ ________ _________ _____ ______.
_______ __________ ________ ________ ______ _______ _______ _________ _____ ________ _______ _________.
________ __________ _______ ____ ____ ___ _____ _____ __________.
__________ ___ ________ _______ ________ __________ ________.
_____ _________ ______ ___ ____ ____ ________ ____ __________ ___ _________ _____.
_____ ______ _______ _____ ___.
_______ _____ ______ ____ _______ _________ ______ _______ __________ _______ ______ ___.
__________ ____ ______ _________ _____ _______.
______.
Skip in 10
Multivariate analysis is a branch of statistical data analysis concerned with the simultaneous study of several variables. In contrast to univariate analysis, which examines one variable at a time, and bivariate analysis, which examines the relationship between two variables, multivariate analysis considers multiple variables together. It is particularly useful when a phenomenon is influenced by several factors at the same time. In data analysis, multivariate techniques help researchers understand complex relationships, identify important factors, predict outcomes, classify observations, and make informed decisions. The basic purpose of multivariate analysis is to study how several dependent and independent variables interact with one another. For example, a researcher studying student academic performance may consider marks as the dependent variable and attendance, study hours, socioeconomic background, learning resources, and previous academic achievement as explanatory variables. Studying these variables jointly provides a more realistic understanding of academic performance than examining each factor separately. Multivariate analysis is based on the idea that real-world phenomena are rarely determined by a single variable. Economic growth, consumer behaviour, health outcomes, educational achievement, employee performance, and market demand are all influenced by multiple factors. Therefore, analysing variables simultaneously can reveal relationships that may remain hidden in separate analyses. It also allows researchers to control the influence of other variables while examining a particular relationship. One important technique is multiple regression analysis. Multiple regression is used when one dependent variable is influenced by two or more independent variables. The general form of the multiple regression equation can be expressed as: Y = a + b₁X₁ + b₂X₂ + b₃X₃ + … + bₖXₖ + e Here, Y represents the dependent variable, X₁, X₂, X₃ and so on represent independent variables, a is the constant, b values are regression coefficients, and e represents the error term. For example, sales of a company may depend on advertising expenditure, product price, distribution coverage, and promotional activities. Multiple regression can estimate the individual contribution of each factor while considering
______ _______ _______ ____ ____ ____ ____.__________ ____ __________ _______ _______ __________ _______ ____ ______ ____ __________.
_______ ___ ___ _________ __________ ___.
______ __________ ___ _____ _____ _________ ______ ______ ___ __________ _________ _________.
__________ _____ __________ _________ _____ ___ ______.
_________ ____ __________ ______ _________ _________ ____ ________ ______.
____ __________ __________ _________ __________ _______ ___.
_________ _________ ________ _______ _________.
________ _____ _____ ___ ___ ____ _____.
__________ ______ _________ ____ ___ ______ ___.
_________ _________ _______ _____ __________ __________ __________ ___.
_________ _____ ________ __________ ______ ________ _________.
____ ________ _________ ___ ________ ________ _________ _________ _____.
_______ _______ _______ _____ ____ ____ ____ ___ ______.
_______ ____ ___ __________ _________ ______.
_____ ____ ___ ______ ________ _____ ___ ____ _____.
____ __________ __________ _______ _________ __________ _____ _______ ______ ________.
__________ ________ ________ _________ _________ ____ __________.
_____ __________ ____ ________ _________ _____ ______ __________ _____.
___ ____ _______ ________ _____ ______ ____.
______ ______ ________ _________ ______ ________ _____.
_____ __________ _________ ______ ____ __________ ___ ________ ____ ___ ____.
________ _______ _________ ___ ________ ____.
______ ___ _____ ________ ____ _______ _________.
________ __________ __________ _______ ________.
_________ ________ _________ __________ __________ __________ ______ ________ ___.
________ _________ _____ _____ _______ ____ __________ _____.
_________ _______ _______ _________ ____ ______.
_____ __________ ________ __________ _________.
___ ____ __________ ____ ________ ____ ___ ________ ________ ________.
___ _________ _____ _____ ________ ____.
_______ ____ ________ ______ ___ _________ __________ _____ ______ _________ ________.
__________ ___ _________ __________ _______ ________ _______ __________ _________ ___.
_______ ______ __________ ____ ________ _____ ____.
_________ __________ ______ _______ ______.
_________ _________ _____ ______ ________ ______ _____ _______ ________.
____ ______ _________ ______ ___.
____ __________ _________ _____ __________ __________ __________ ____ _____ ___ _______ ________.
_________ _________ __________ __________ ___ ________.
_______ ____ ________ _______ ____ __________ _________ _____ _____ _____ ________.
__________ ______ _______ _____ ______ _______ ______.
______ ____ ________ ___ ____ ___.
__________ _____ __________ ____ _________ _________ _________ __________ ___ ________ _______.
__________ _____ __________ ____ ________ _____ ______ __________ _______ ____ _________ _________.
______ _________ ______ __________ _________.
_________ ___ ________ _______ ____ ____ ______.
_____ ______ _________ ___ _________ ___ ________ _________.
___ _______ ___ ____ ________ ______ ___ ____ ______ ________ __________ ________.
____ _____ ____ __________ ___ _____ __________ _____ ____ _____ ___ ________.
________ ___ _________ __________ __________ ______ _________ ____ __________ ___ ________.
____ ____ __________ ___ _____ _____ ______ ____ _______ _____ _________.
________ ______ __________ ________ ________.
_____ __________ _________ ___ ____ ____ _______ ______ ____.
_____ ___ _________ ______ _____ _____ ____ ___.
___ __________ __________ ___ _________ _______.
_________ _____ __________ ___ ____ ________ _________.
_______ _____ ________ ___ _________ _______ _________ _________ _______ ____ __________.
_______ _____ ______ ___ ______ _______ ______ _____.
________ __________ ________ ______ ________ __________ ______ _____ _________ _________.
__________ ___ _____ ___ ________ _______ ________.
_________ __________ _____ _____ ______ ______ ________ __________ ________.
________ _________ ___ ________ _____ _________ _______ ____ _____ __________ ____.
__________ ____ ___ ________ __________ ____ ____.
___ ____ _________ ________ ___ ________ ______ _______.
_______ ___ _______ ___ _______ _______ _______ ___ _____.
__________ _____ ______ ___ ___ ____ ______ __________ ___.
____ __________ ____ ________ ___ ____ ____ ________ _________ _______.
______ ______ _________ _______ __________.
_____ _____ ______ ___ _____ __________ _________ ____ ___ ________ _______ ________.
__________ _________ ________ ____ _________.
_________ ____ ________ ___ _____.
________ ______ _________ _________ _______ ___ ____ _________ ____ ______ _____.
__________ ___ ______ ______ ___ _________ _______ ________.
________ ________ _________ _____ _______ ____ __________ _____ _________ __________ ____.
____ ________ ___ _______ _________ __________ _______ _____.
________ _______ _____ ____ _______ _____ ___ ___ _________ _________ ________ _____.
_____ ____ _____ ___ _______ _________ _______.
__________ ______ _______ _________ ____ _________ ______ ____ __________ __________.
____ ___ ___ _____ ____ _______ ___ ______.
____ ____ ________ _________ ________.
_____ ___ ____ ____ __________ _____ ___ __________ ____ __________ ______.
______ ________ ______ ______ _____ ____ ___ ________ ________ _______ ____ _______.
_______ _______ _____ ___ ____ _________.
_____ __________ _______ ______ __________ _________ _____ ______.
____ _______ __________ ______ __________ _______ __________ _______.
________ ___ _________ _____ __________ ________.
____ _______ ________ ________ ____.
_______ ___ __________ ____ __________ ____ ______.
_________ ______ ______ ________ __________ ______ ______ _______ ___ _______ ___ ___.
______ ___ _______ ______ ________ ________ __________.
___ _______ __________ ____ ____ __________ ______ _________ ____ _________.
__________ ______ ________ __________ ___ _______ ________ _________ ________ ________ ____.
___ __________ __________ __________ _____ _________ ____ _______ ______ ____ _________ __________.
______ ______ _____ ___ ________ _________ _________ ____ ________ ____ _________ _______.
__________ __________ ___ ______ _________.
______ ______ _______ __________ _______ ___ ________.
_________ __________ _____ _______ _________ _____ ____ ________ ______ __________.
___ _____ _________ _________ ________ __________.
___ _______ __________ ______ ______ ____.
____ _______ ______ ____ ______ _________.
___ _____ ____ _________ ____ __________ _____ ____ _______.
______ ______ ________ ________ ___.
_______ _______ ______ ________ ______ ___ __________ _______ _____ ______.
_________ ___ ___ _________ ____ _________ _______ _________ ________ _________.
________ ___ ___ ______ _______ ________ _____ ____ ___.
____ _______ _______ _________ ________ ____ _____ _____.
___ ____ ___ __________ ______ ________.
____ ________ _____ ____ _______ ____ ____ __________ ________ ________ _____.
_____ ____ _____ ______ ____ ______ _____ ____ _____ ____ _______.
_______ ____ _________ _________ _________ ________ ___ ___ ______ __________.
____ _____ ________ ______ ________ ____ _____ _____ ______ _______ _____.
______ ___ _____ _______ _______ ________.
___ ____ _________ ________ ____.
__________ ___ _________ __________ _______.
_______ ___ _________ ___ ________ ___ _____ _______ ________ _____ ___.
__________ _____ ___ ____ ________ ________ _________ _____ ______.
_______ __________ ________ ________ ______ _______ _______ _________ _____ ________ _______ _________.
________ __________ _______ ____ ____ ___ _____ _____ __________.
__________ ___ ________ _______ ________ __________ ________.
_____ _________ ______ ___ ____ ____ ________ ____ __________ ___ _________ _____.
_____ ______ _______ _____ ___.
_______ _____ ______ ____ _______ _________ ______ _______ __________ _______ ______ ___.
__________ ____ ______ _________ _____ _______.
______.
IGNOU ACADEMY
Your IGNOU journey, made easier.
- Solved Assignments
- Study Notes
- Guess Papers
- Question Papers
Continue Reading — It's Free
Sign in with Google to unlock more of this answer.
✓ Free access
✓ Unlock up to 60% of the answer
✓ No payment required
✓ Unlock up to 60% of the answer
✓ No payment required
Quick Google sign-in. No separate registration form.