eChapters

Section-A : Write True / False

Q.1 Dispersion of a given set of values, gives an idea about the homogeneity or heterogeneity of the distribution of values.

Q.2 The measure of scatteredness of a set of values about an average is known as the “measure of variation or dispersion”.

Q.3 The measure of dispersion must be based on all the observations.

Q.4 Measure of dispersion should be amenable to further mathematical treatment.

Q.5 Measure of dispersion should be affected as little as possible by fluctuation of sampling.

Q.6 The measures which express the spread of observations in terms of distance between the values of two selected observations, are known as “distance measures” e.g. range and interquartile range (or quartile deviation).

5.1 Learning Objectives
By the end of this chapter, you will be able to:
i) Understand and apply Absolute Measures of Dispersion;
ii) Explore Relative Measures of Dispersion;
iii) Understand the importance of these measures in comparing the variability of data sets;
iv) Familiarize with the concept of moments in statistical distributions;
v) Learn about skewness and kurtosis as measures of distribution shape;
vi) Develop the ability to apply these concepts to real-world data.

5.2 Introduction

Nowadays, understanding the dispersion and shape of data distributions is as crucial as knowing their central tendency. This chapter, ‘Measures of Dispersion and Shape of Distribution,’ delves into the essential statistical tools that quantify the spread and shape of data sets. It covers key concepts such as range, variance, standard deviation, skewness, and kurtosis. These measures provide deeper insights into the consistency, reliability, and nature of business data, enabling professionals to make more nuanced and informed decisions. Through this chapter, readers will learn not just to describe data, but to understand the facts it tells about variability and distribution trends in a business context.

What is dispersion?

In statistics, dispersion (also called variability, scatter, or spread) is the extent to which a distribution is stretched or squeezed. Common examples of measures of statistical dispersion are the variance, standard deviation, and interquartile range. For instance, when the variance of data in a set is large, the data is widely scattered. On the other hand, when the variance is small, the data in the set is clustered.

Dispersion is contrasted with location or central tendency, and together they are the most used properties of distributions.

Measure of dispersion

(a) Range

The range is defined as the difference between the largest and smallest observations. Range(X)= Max(X)- Min (X)

Example

The range in statistics for a given data set is the difference between the highest and lowest values. For example, if the given data set is {2,5,8,10,3}, then the range will be 10 – 2 = 8. Thus, the range could also be defined as the difference between the highest observation and lowest observation.

The measure of scatteredness of observation around their average is necessary to get a better description of data. The extent or degree to which data tend to spread around an average is called Dispersion or Variation. Measure of Dispersion also called the averages of second order; help us to measure the scatteredness of observation around an average. The commonly used measures of dispersion are as follows;

There are 3 types of systems for expressing the energy value of feeds and many examples have been depicted in each of these systems the world over, but here, one example has been taken up in each of these categories. [a] Digestive Nutrient Type: For example, Total Digestible Nutrient (TDN) system: Digestibility coefficients of various organic nutrients like – carbohydrate, fat and protein are determined by digestibility trials, which can be involved for total digestible nutrients as a measure of nutritive value of feeds. Hence only faecal energy loss has been considered barring losses from other channels. Hence, roughages are overestimated by such calculations. Otherwise, this method is simple, economical and has some basis for animals to be fed on such standard. The TDN value is expressed in % age as following - % TDN = % digestible crude protein + % digestible crude fibre + % digestible nitrogen free extractives + [% digestible ether extract x 2.25]. where Nitrogen Free Extractives = 100 – [crude protein % + ether extract % + crude fibre % + ash %] on dry matter basis.
[b] Production value type: For example, Starch Equivalent (S.E.) system originated from Germany, hence followed in those areas of Europe and takes into account almost all the losses involved in digestion of feed. The method is based on Carbon – Nitrogen balance studies without the help of any costly equipment, but faced some criticism too. The animals were kept in big animal calorimeter, where different sources of energy losses could be determined to the best of their ability. When it was ensured that the ration on which the animals were neither gaining nor losing weight (by measuring the intake and outgo of both carbon and nitrogen), then pure starch, straw pulp, that is, cellulose, wheat gluten (protein) and oil were added to this diet and determined the carbon and nitrogen separately again. Feeds for productive purposes are measured in terms of starch values. S.E. = Weight of fat stored per unit of feed / weight of fat stored per unit of starch x 100. That is, amount of feed required to produce as much animal fat as is being produced by unit amount of starch, when fed in addition to maintenance. For example, if linseed cake has got SE of 75, which means that 100 kgs of linseed cake can produce as much fat as 75 kgs of pure starch, when fed in addition to maintenance ration.

Points to ponder
• Minerals are naturally formed substances in earth. They are typically solid, inorganic, have crystal structure formed by geological processesnaturally. They may consist of single chemical element or a  compound more usually. They are identified by these characteristics: colour, streak, hardness, hardness, luster, diaphaneity, specific gravity, cleavage, fracture, magnetism, solubility.
• Colour in minerals: Its result of brain’s interpretation of the dominant wavelength of light. “Minerals are coloured, because certain wavelengths of incident light are absorbed and the colour we perceive is produced by the remaining wavelengths that were not absorbed”. Some minerals are colourless.
• The mineral is an essential element which has a metabolic role in the body and if not provided in the diet, can cause deficiency symptoms, which can be prevented by adding that element to the diet. Animal body contains about 3% minerals, which are constant constituents of animal tissue.
• Classification is based on the amount required by the animals. Major elements are required in large amounts and are expressed in % age, whereas minor or trace elements are required in small amounts and hence expressed in parts per million (ppm) or parts per billion (ppb) or even parts per trillion (ppt) …. so on and so forth, depending on discovery of new trace element.
• They have following significant role in the cattle: health, production, reproduction, defense.

A spectrophotometer is an analytical instrument that measures the absorbance of a test sample (solution). The term “spectroscopy” comes from the word “spectrum”. “Spectroscopy” therefore implies the use of multiple wavelengths of light. Spectrophotometers have the ability to specifically measure absorbance at specific wavelengths. The most commonly used method to allow this involves a “monochromator”, a device (either a prism, or more commonly, a diffraction grating) that splits the incident light into its component wavelengths, and allows only light of the desired wavelength to reach the sample. The ability to measure absorbance at different wavelengths is very useful, because the extinction coefficient of a compound varies with wavelength. In addition, the absorbance spectrum of a compound can vary depending on the chemical composition of the compound, and depending on the nature of the solvent around the compound.

Absorbance is a useful quantity and follows the Beer-Lambert law. The extinction coefficient of a molecule at a given wavelength can be calculated using the Beer-Lambert equation from absorbance measurements for solutions of known concentration, which states that:

8.1 NEED FOR ANIMAL DISEASE FREQUENCY MEASURES

The very essence of veterinary epidemiology is to measure animal disease occurrence and to make comparisons between the animal population groups. The animal disease frequency measures help us to understand the distribution of diseases in animal populations. Hence, the principal role of veterinary epidemiology is to describe and explain differences in the distribution of animal diseases between the populations.

Measures of the disease frequencies are used to describe how common an illness is concerning the size of the population (the population at risk) at a particular point in time. The major reason for determining the morbidity is to assess the extent of a disease problem in a population. This assessment is possible only when the number of diseased animals is calculated and compared with the total number of animals in the population. A report of 10 cases of mastitis in a dairy herd does not indicate the true extent of the disease problem, unless the report also indicates the total number of dairy animals in the herd or population. Thus, it is important to relate the number of cases of a disease to the population at risk of developing that disease.

General Definitions

    1.    Colour : Colour is the name for all sensations arising from the activity of the retina of the eye and its nervous mechanisms, this activity being a specific response to radiant energy of certain wavelength and intensities. Colour is basically psychological and is not synonymous with wavelength.

    2.    Lambert’s law : Which states that the proportion of radiant energy absorbed by a substance is independent of the intensity of the incident light.

    3.    Beer’s law : Which states that the proportion light absorbed depends only on the total number of absorbing molecules through which it passes independently of their concentration.

    4.    Extinction : Extinction is the logarithmic ratio of the intensity of the incident light to that of the emergent light.

Introduction
Information Technology (IT) has emerged as a cornerstone of modern economic, social, and environmental systems, pivotal in driving innovation and sustainabilit across various sectors. As the world grapples with the urgency of achieving sustainable development, IT offers powerful tools to monitor, analyze, and optimize resource use, reduce environmental footprints, and promote social and economic equity. However, measuring the impact of IT on sustainability requires a nuanced understanding of its diverse contributions, challenges, and longterm consequences. It is essential to assess how IT can simultaneously support environmental conservation, economic growth, and social well-being, often called the three pillars of sustainability.

Meat and Meat Products

    1.    Meat can be defined as “the muscle tissue of slaughter animals”.
    2.    meat is composed of water, fat, protein, minerals and a small proportion of carbohydrate

• The proportion of bone varies depending on breed and body condition from 12 to 28% in the dressed carcase and approximately 15% in a good large ruminants carcase
• Bone percentage increases with the age and weight of the animal and it is lowest in Aberdeen Angus cattle and it may increase to 28% in low quality large ruminants
• The average bone % in bobby calves is 50%, veal calves 25%, in lamb 17–35%, in pork 12–20% and in poultry 8–17% Important parts of digestive system of meat animals Ox tongue
• Filiform papillae found on the tongue are pointing backward and horny and thus, helps in food prehension
• Actinobacillosis erodes the prominent posterior part of the tongue dorsum
• 10–14 circumvallate papillae are spread in the region of prominent dorsum around the either side of the tongue midline
• Black pigmentation of the tongue surface is fairly normal and not associated with any disease condition
Sheep and goat tongue
• Similar to cattle tongue
• However, papillae are not horny but the centre of the tip is slightly grooved
• Black pigmentation of the surface of the tongue is common in blackskinned sheep.

(Ref: 1997-2016 American Meat Science Association)
The methods used for cooking meat can be divided into two groups:
1. Dry heat methods
2. Moist heat methods

6.1 Introduction

The food industry produces large volumes of waste both solid and liquid, starting from the initial step of raw material to the final consumption of processed food. Apart from a loss of valuable biomass and nutrients, the generated waste poses increased disposal and potentially severe pollution problems. Meat and meat industry is no exception where slaughter houses, meat processors, wholesalers and rendering plant generates huge amount of waste [1, 2].

Meat and meat processing industry, is among the least profitable industries despite its immense size and large gross sales. Effective recovery and utilization of by-products and wastes is the lifeline of meat and poultry processing industry. Thus, it becomes imperative that an effort be made to reduce expenses by employing the use of new or modified processing methods and through in-plant treatment, where waste effluents and by-products could be recovered and often upgraded to useful products of higher value. Meat processing wastes have a potential for recycling raw materials or for conversion into useful products of higher value as by-product or even as raw material for other industries or for use as food or feed after biological treatment.

Meat is animal flesh that is used as food. Most often, this means the skeletal muscle and associated fat, but it may also describe other edible tissues such as organs, liver, brain, bone marrow, kidney, or lung. Meat is a nutrient dense food. Meat contains protein, fat, enzymes, vitamins and minerals for proper human nutrition. Goats are important producer of meat besides milk, fiber and skin. Goat meat is lower in calories, total fat, saturated fat and cholesterol, than traditional meats.Goat have number of characteristics , such as high reproductive potential , short generation interval , ability to thrive on shrubs, bushes and tree leaves, high digestive efficiency for cellulose and less susceptibility to infectious diseases, that make them suitable as meat producing livestock. Since these animals are more concentrated in the developing part of the world, they play a major role in subsistence agriculture of developing economies of poor and marginal farmers inhabiting such countries. More than 95 % of goats are concentrated in dry tropical and subtropical areas of poor agricultural potential and even on marginal lands of the world (Morand Fehr and Boyazoglu, 1999). Goat has several other advantages as producer of meat which make it predominant and preferred animal for meat production. Often because of the above mentioned reason, goat meat is sold two to three times costlier as compared to pork in India. Beef is unavailable in India with the exception of Kerala and West Bengal. Goat meat has an edge over mutton too, as the number of goats slaughtered for meat purposes (40%) far exceeds the number of sheep slaughtered for similar purposes. The slaughter rate of goat is at the level of 39.7 % as compared to 31.8% for sheep and 11% for buffaloes, respectively. Sheep and goat meat are both called “mutton” in India. Goats convert the poor quality roughage, browse tree leaves, which would have otherwise gone waste, into valuable source of protein in several desert or hostile areas of the world where other classes of livestock like cattle and buffalo will starve to death. Goat meat production and consumption has an important place in the economy of Asian and African countries. Goats have been recognized as an important source of meat in the rural areas of these countries. Commercial meat-goat enterprises account for majority of the meat-goat production systems and herd sizes range from five to several thousand does. Prolificacy, milk production and pre-weaning growth are important in achieving good productivity of commercial meat production enterprises.

Abstract

The interest in the utilization of industrial by-products is increasing day by day and is major reason for exploring different meat, poultry and fish industry waste and optimization of extracting conditions of different valuable compounds. Utilization of these by-products in effective manner can be positive for meat industry economy as well as environmental pollution of the country. Besides the potential revenue losses, non-utilized or underutilized by-products accounts for the extra cost for their disposal. Meat producers are converting these by-products into value added edible and inedible form. Among the most prominent current uses of meat, poultry and fish waste are food ingredients, water treatment, cosmetic and personal care products, biogas/biodiesel, biomedical and pharmaceutical application. Several studies have dealt with the production of several value-added products such as gelatin, collagen, enzymes, specific proteins, bioactive peptides, chitin, chitosan, and pigments fro m the meat industries waste. Recently, in the food and pharmaceutical industry, an increasing number of new applications have been found for products generated from meat, poultry and fish industry waste; in different products as foaming agents, emulsifiers, biodegradable film-forming materials, colloid stabilizers, and microencapsulating agents, in line with the growing trend to replace synthetic agents with more natural ones.

INTRODUCTION

Meat is the flesh of animals that is used for food and consists of muscle, fat and bone. If the muscle which is commonly known as the lean meat, is examined under the microscope, it is seen to be made up of bundles of fibers held together by a thin membrane called connective tissue. Further study reveals that these fibers are in readily hollow tubes that vary in length in different animals and in different muscles in the same animals that are filled with a fluid, sometimes called muscle juice, which is known to contain protein, minerals and extractives. The forms of protein in the muscles are myosin (a globulin) and myogen (an albumen) and in addition, on red meats, hemoglobin.

All over the world, when people get richer their life style change and they consume more animal protein, especially meat. We may add value by good genetics and know how in farm and feed management. There would be huge demand for poultry products and meat in coming years in India as per capita income of middle class people is gradually increasing and for that production of meat and meat products is required to be increased to meet the demand. Meat of goat, buffalo chicken are generally sold in India. Marketing of meat and meat products, chicken and poultry products such as eggs are the main challenges for the new farmers as there is no ready market in India. Recently there is huge demand of Chicken in Northern India. The initial problem faced by farmers is getting the special chicken feed for the different age groups. There is no well equipped dedicated slaughter house available in every city. New technology for animal slaughter is required so that all parts of animal are used properly without losing valuable protein. The idea should be to use innovated technology to optimize the profits in the chain.

This procedure allows us to mix two feed stuffs with different nutrient concentrations and come up with a mixture of the desired total concentration. For this square to work, the desired diet nutrient concentration must be between the nutrient concentrations of the two feed stuffs as well as in the same unit. The procedure can be used for Crude Protein, Energy, Minerals and so on and so forth.Also, in place of percentage, calories, parts per million/ billion / trillion and other units of measurement can be used.

Double Pearson Square Method

Sometimes, we might want to have the exact amounts of two major nutrients such as - Crude Protein and Energy.

For example, suppose we want a final mixture with 12 % Crude Protein (CP) and 74 % Total Digestible Nutrient (T.D.N.). We have :