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What is statistics and its branches?
Statistics is one of the crucial and most robust branches of maths used to deal with data collection, organization, analysis, and presentation. It includes analyzing, collecting, and interpreting data. In other words, it is all about performing different methods on the raw data to make it more understandable. Statistical models apply statistics to industrial, social as well as scientific problems. It is used in a wide range of academic disciplines such as Finance, Insurance, and Economics.
Example of Statistics
Suppose you have a dataset of the ages of 10 people in a certain group:
18, 22, 20, 27, 25, 24, 21, 19, 23, 26
You can use statistics to analyze this data and gain insights into the group's age distribution. Here are some example statistics:
Median age: 23 (the middle value when the ages are listed in order)
Mode age: No mode (no age appears more than once)
Range of ages: 27 - 18 = 9
Standard deviation of ages: 2.87 (a measure of how spread out the ages are from the mean)
Variance of ages: 8.25 (the square of the standard deviation)
Two Major Branches of Statistic
Descriptive statistics is a short descriptive coefficient that summarizes the data set, which can be either a team of the entire or a sample of the population. It is the measure of central tendencies and variable measures. Below are some of the types of descriptive statistics:
Central tendency measures:
Measures of Central Tendency include Mean, Median, and Mode. It is used to find the center point value of the numerical dataset.
The variability measure is a summary used to represent the dispersion amount in a dataset. It indicates how far the data points are from the center.
It is a set of assumptions that are made on the basis of information found by Descriptive Statistics. This type of statistics takes a random sample of data from a population to describe and deduce that population. Below are some of the types of inferential statistics:
Regression analysis is one of the best statistical methods. It is used to examine the relationship between two dependent and independent variables with the same interest.
Analysis of variance (ANOVA):
It is the collection of statistical models. ANOVA-associated estimation procedures are used to analyze the differences among group means. It was developed by one of the greatest statisticians and biologist Ronald Fisher.
Analysis of covariance (ANCOVA):
The ANCOVA is the general linear model that is used to blend ANOVA and regression. ANCOVA's primary motive is to evaluate that the means of dependent variables are equal to the categorical independent variable.
Statistical significance (t-test):
analysis is a statistical method. It is used to evaluate the relationship strength between two independent quantitative variables. If the correlation is high, then the variables may have a strong relationship with each other. If the correlation is weak, then the variables are hardly related to each other.
What are the main functions of statistics?
Statistics plays a crucial role in various fields and has several main functions, including:
Statistics helps collect, organize, and summarize large amounts of data. It provides methods for collecting data systematically and objectively.
Statistics provides various methods for analyzing data, such as graphical representation, descriptive statistics, inferential statistics, etc.
Statistics provides tools and techniques for interpreting data, making sense of it, and drawing meaningful conclusions.
Statistics provides methods for presenting data in a meaningful and easy-to-understand manner, such as tables, graphs, charts, etc.
Statistics supports decision-making by providing a basis for making informed choices.
Statistics is used to create predictive models that can be used to forecast future trends, events, or outcomes.
Statistics plays a critical role in quality control by providing methods for monitoring and controlling the quality of products or services.
Overall, the main functions of statistics are to provide tools for collecting, analyzing, interpreting, presenting, and using data to support decision-making and solve real-world problems.
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Topics Covered in Our Statistics Assignment Help
Measures of Central Tendency
The basics of statistics come into the measures of central tendency. In other words, mean, median, and mode is part of the central tendency. It is used to represent the central point value of the dataset. We offer you the best help with central tendency.
Skewness and Kurtosis
Both of these terms are widely used in statistics. Skewness is all about the measure of symmetry. On the other hand, Kurtosis is used to hold the data on two parameters: heavy-tailed or light-tailed to give normal distribution.
Correlation analysis is another crucial method of statistics. We use this method to evaluate the strength of the relationship between two quantitative variables. If the correlation is high, then the variables have a strong relationship with each other. On the other hand, if the correlation is low, then the relation is weak.
Discrimination and Classification
When we need to separate the set of objects from the data, then we use discrimination. On the other hand, classification is all about classifying the data into predefined groups. Both of these terms are interrelated with each other. Discrimination is used to separate the data from the large group of data, and classification is used to organized this data.
Power and Confidence Intervals
Power and confidence intervals are interrelated with each other. Power works as a probability for the confidence interval. Our statistics assignment writers will help you to calculate power in statistics.
When we need to know how far the mean is from the data point, then we use a z-score. It is basically a measure that measures the standard deviations' numbers below or above the given popular mean. Apart from that, the z-score is always placed on a normal distribution curve.
It is the standardized scores of each type and each dimension. Our experts can solve every question related to T-scores within your given deadline. Don't worry about the accuracy. You will get the most reliable statistics to help from the experts.
We use this when we need to describe variability among the observed and correlated values. In our statistics help, we also cover everything about factor analysis. We are committed to providing you with the best solution at any cost.
Cluster analysis is a part of data classification. In this, we use to group the data so that the data in a group is of more similar properties to each other than the other group. Our experts will help you to learn more about data clusters and cluster analysis.
Data Organization and Graph
In our assignment help services, we cover almost every type of graph in statistics. We also include data organization methods such as quantitative and qualitative data. In the graphs section, we cover all kinds of plots and histograms.
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We also cover the hypothesis test with our online service of statistics assignment help. And it is one of the crucial methods of statistical inference. Our statistics assignment help experts to provide you with the null hypothesis and the alternative hypothesis test. We also offer the best help with statistical inference.
Analysis of Variance (ANOVA)
Analysis of Variance (ANOVA) is the most crucial topic of statistics. We use this statistical method to examine the variations between two or more different means. We cover almost everything on the types of ANOVA. Our experts also include f distribution, one-way ANOVA, multi-way ANOVA, and much more.
The chi-square test is the most popular among other tests in statistics. It is represented as χ² test. When we want to represent the statistical hypothesis tests, then we use the Chi-Squared test. We also cover almost everything with our chi-squared test, i.e., chi-squared distributions, contingency tables, inferences, population variance, in online help with statistics service.
Regression analysis is also one of the significant methods of statistics. With the help of regression analysis, you can test the correlation between two or more variables. Our experts are always ready to provide you with the best help in all types of regression analysis. Our experts cover simple linear regression, coefficient of determination, linear correlation, multiple regression approach, application of the regression model, and much more in statistics help.
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Error X (in minutes ′ of arc) (−4,−2] (−2,0] (0,+2] (+2,+4] (+4,+6]
Frequency 10 43 39 5 3
Show that′ the sample mean and sample standard deviation for these data are x¯ = −0.04′ and s = 1.717 respectively.
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