Formula
The formula to compute the isolation index is given by:
where is the population of group in region , is the population of group in region , is the total population of group .
Isolation index measures the degree to which people inhabit geographic units inhabited primarily by members of their own group. It is usually denoted by I. It varies from 0 to 1.0 and is defined as the proportion of own-group members in the unit of the average person. In measuring black isolation, for example, a score of 1.0 means that the average black person lives in a neighborhood that is 100 percent black, and a score approaching 0 means that this person lives in a neighborhood where he or she is nearly the only black resident. [1] They have been used in studies of racial segregation [2] and ideological segregation. [3] [4] Isolation index is not invariant to relative size of group.
Examples of isolation indices include Lieberson's isolation index and Bell's isolation index. [5]
The formula to compute the isolation index is given by:
where is the population of group in region , is the population of group in region , is the total population of group .
Consider the following distribution of white and black population across neighborhoods.
| Neighborhood | White | Black | |
|---|---|---|---|
| A | 100 | 5 | 0.01 |
| B | 100 | 10 | 0.036 |
| C | 100 | 10 | 0.036 |
| Total | 300 | 25 | 0.082 |
In economics, the Gini coefficient, also known as the Gini index or Gini ratio, is a measure of statistical dispersion intended to represent the income inequality, the wealth inequality, or the consumption inequality within a nation or a social group. It was developed by Italian statistician and sociologist Corrado Gini.
A ghetto is a part of a city in which members of a minority group are concentrated, especially as a result of political, social, legal, religious, environmental or economic pressure. Ghettos are often known for being more impoverished than other areas of the city. Versions of such restricted areas have been found across the world, each with their own names, classifications, and groupings of people.
Student's t-test is a statistical test used to test whether the difference between the response of two groups is statistically significant or not. It is any statistical hypothesis test in which the test statistic follows a Student's t-distribution under the null hypothesis. It is most commonly applied when the test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known. When the scaling term is estimated based on the data, the test statistic—under certain conditions—follows a Student's t distribution. The t-test's most common application is to test whether the means of two populations are significantly different. In many cases, a Z-test will yield very similar results to a t-test because the latter converges to the former as the size of the dataset increases.
The index of dissimilarity is a demographic measure of the evenness with which two groups are distributed across component geographic areas that make up a larger area. A group is evenly distributed when each geographic unit has the same percentage of group members as the total population. The index score can also be interpreted as the percentage of one of the two groups included in the calculation that would have to move to different geographic areas in order to produce a distribution that matches that of the larger area. The index of dissimilarity can be used as a measure of segregation. A score of zero (0%) reflects a fully integrated environment; a score of 1 (100%) reflects full segregation. In terms of black–white segregation, a score of .60 means that 60 percent of blacks would have to exchange places with whites in other units to achieve an even geographic distribution.Index of dissimilarity is invariant to relative size of group.
The Theil index is a statistic primarily used to measure economic inequality and other economic phenomena, though it has also been used to measure racial segregation. The Theil index TT is the same as redundancy in information theory which is the maximum possible entropy of the data minus the observed entropy. It is a special case of the generalized entropy index. It can be viewed as a measure of redundancy, lack of diversity, isolation, segregation, inequality, non-randomness, and compressibility. It was proposed by a Dutch econometrician Henri Theil (1924–2000) at the Erasmus University Rotterdam.
Racial steering refers to the practice in which real estate brokers guide prospective home buyers towards or away from certain neighborhoods based on their race. The term is used in the context of de facto residential segregation in the United States, and is often divided into two broad classes of conduct:
The Hoover index, also known as the Robin Hood index or the Schutz index, is a measure of income inequality. It is equal to the percentage of the total population's income that would have to be redistributed to make all the incomes equal.
Facilities and services such as housing, healthcare, education, employment, and transportation have been systematically separated in the United States based on racial categorizations. Segregation was the legally or socially enforced separation of African Americans from whites, as well as the separation of other ethnic minorities from majority and mainstream communities. While mainly referring to the physical separation and provision of separate facilities, it can also refer to other manifestations such as prohibitions against interracial marriage, and the separation of roles within an institution. The U.S. Armed Forces were formally segregated until 1948, as black units were separated from white units but were still typically led by white officers.
An index of qualitative variation (IQV) is a measure of statistical dispersion in nominal distributions. Examples include the variation ratio or the information entropy.
Income segregation is the separation of various classes of people based on their income. For example, certain people cannot get into country clubs because of insufficient funds. Another example of income segregation in a neighborhood would be the schools, facilities and the characteristics of a population. Income segregation can be illustrated in countries such as the United States, where racial segregation is a major cause of income inequality.
In statistics, one-way analysis of variance is a technique to compare whether two or more samples' means are significantly different. This analysis of variance technique requires a numeric response variable "Y" and a single explanatory variable "X", hence "one-way".
African-American neighborhoods or black neighborhoods are types of ethnic enclaves found in many cities in the United States. Generally, an African American neighborhood is one where the majority of the people who live there are African American. Some of the earliest African-American neighborhoods were in New Orleans, Mobile, Atlanta, and other cities throughout the American South, as well as in New York City. In 1830, there were 14,000 "Free negroes" living in New York City.
Residential segregation is the physical separation of two or more groups into different neighborhoods—a form of segregation that "sorts population groups into various neighborhood contexts and shapes the living environment at the neighborhood level". While it has traditionally been associated with racial segregation, it generally refers to the separation of populations based on some criteria.
In the United States, housing segregation is the practice of denying African Americans and other minority groups equal access to housing through the process of misinformation, denial of realty and financing services, and racial steering. Housing policy in the United States has influenced housing segregation trends throughout history. Key legislation include the National Housing Act of 1934, the G.I. Bill, and the Fair Housing Act. Factors such as socioeconomic status, spatial assimilation, and immigration contribute to perpetuating housing segregation. The effects of housing segregation include relocation, unequal living standards, and poverty. However, there have been initiatives to combat housing segregation, such as the Section 8 housing program.
Exclusionary zoning is the use of zoning ordinances to exclude certain types of land uses from a given community, especially to regulate racial and economic diversity. In the United States, exclusionary zoning ordinances are standard in almost all communities. Exclusionary zoning was introduced in the early 1900s, typically to prevent racial and ethnic minorities from moving into middle- and upper-class neighborhoods. Municipalities use zoning to limit the supply of available housing units, such as by prohibiting multi-family residential dwellings or setting minimum lot size requirements. These ordinances raise costs, making it less likely that lower-income groups will move in. Development fees for variance, a building permit, a certificate of occupancy, a filing (legal) cost, special permits and planned-unit development applications for new housing also raise prices to levels inaccessible for lower income people.
Housing discrimination in the United States refers to the historical and current barriers, policies, and biases that prevent equitable access to housing. Housing discrimination became more pronounced after the abolition of slavery in 1865, typically as part of Jim Crow laws that enforced racial segregation. The federal government didn't begin to take action against these laws until 1917, when the Supreme Court struck down ordinances prohibiting blacks from occupying or owning buildings in majority-white neighborhoods in Buchanan v. Warley. However, the federal government as well as local governments continued to be directly responsible for housing discrimination through redlining and race-restricted covenants until the Civil Rights Act of 1968.
Racial segregation in Atlanta has known many phases after the freeing of the slaves in 1865: a period of relative integration of businesses and residences; Jim Crow laws and official residential and de facto business segregation after the Atlanta Race Riot of 1906; blockbusting and black residential expansion starting in the 1950s; and gradual integration from the late 1960s onwards. A 2015 study conducted by Nate Silver of fivethirtyeight.com, found that Atlanta was the second most segregated city in the U.S. and the most segregated in the South.
The poverty gap index is a measure of the degree of poverty in a country. It is defined as extent to which individuals on average fall below the poverty line, and expresses it as a percentage of the poverty line.
School segregation in the United States was the segregation of students based on their ethnicity. While not prohibited from having schools, various minorities were barred from most schools, schools for whites. Segregation was enforced by formal legal systems in U.S. states primarily in the Southern United States, although elsewhere segregation could be informal or customary. Segregation laws were dismantled in 1954 by the U.S. Supreme Court because of the successes being attained during the Civil Rights Movement. Segregation continued longstanding exclusionary policies in much of the Southern United States after the Civil War. Jim Crow laws codified segregation. These laws were influenced by the history of slavery and discrimination in the US. Secondary schools for African Americans in the South were called training schools instead of high schools in order to appease racist whites and focused on vocational education. School integration in the United States took place at different times in different areas and often met resistance. After the ruling of Brown v. Board of Education, which banned segregated school laws, school segregation took de facto form. School segregation declined rapidly during the late 1960s and early 1970s as the government became strict on schools' plans to combat segregation more effectively as a result of Green v. County School Board of New Kent County. Voluntary segregation by income appears to have increased since 1990. Racial segregation has either increased or stayed constant since 1990, depending on which definition of segregation is used. In general, definitions based on the amount of interaction between black and white students show increased racial segregation, while definitions based on the proportion of black and white students in different schools show racial segregation remaining approximately constant.
The Delmar Divide refers to Delmar Boulevard as a socioeconomic and racial dividing line in St. Louis, Missouri. The term was popularized outside Greater St. Louis by a four-minute documentary from the BBC. Delmar Blvd. is an east–west street with its western terminus in the municipality of Olivette, Missouri extending into the City of St. Louis. There is a dense concentration of eclectic commerce on Delmar Blvd. near the municipal borders of University City and St. Louis. This area is known as the Delmar Loop. Delmar Blvd. is referred to as a “divide” in reference to the dramatic difference in racial populations in the neighborhoods to its immediate north and south: as of 2012, residents south of Delmar are 73% white, while residents north of Delmar are 98% black, and because of corresponding distinct socioeconomic, cultural, and public policy differences.
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