Bias is disproportionate weight in favor of or against an idea or thing, usually in a way that is closed-minded, prejudicial, or unfair. Biases can be innate or learned. People may develop biases for or against an individual, a group, or a belief.In science and engineering, a bias is a systematic error. Statistical bias results from an unfair sampling of a population, or from an estimation process that does not give accurate results on average.
The word probably derives from Old Provençal into Old French biais, "sideways, askance, against the grain". Whence comes French biais, "a slant, a slope, an oblique".
It seems to have entered English via the game of bowls, where it referred to balls made with a greater weight on one side. Which expanded to the figurative use, "a one-sided tendency of the mind", and, at first especially in law, "undue propensity or prejudice".
A cognitive bias is a repeating or basic misstep in thinking, assessing, recollecting, or other cognitive processes.That is, a pattern of deviation from standards in judgment, whereby inferences may be created unreasonably. People create their own "subjective social reality" from their own perceptions, their view of the world may dictate their behaviour. Thus, cognitive biases may sometimes lead to perceptual distortion, inaccurate judgment, illogical interpretation, or what is broadly called irrationality. However some cognitive biases are taken to be adaptive, and thus may lead to success in the appropriate situation. Furthermore, cognitive biases may allow speedier choices when speed is more valuable than precision. Other cognitive biases are a "by-product" of human processing limitations, coming about because of an absence of appropriate mental mechanisms, or just from human limitations in information processing.
Anchoring is a psychological heuristic that describes the propensity to rely on the first piece of information encountered when making decisions.According to this heuristic, individuals begin with an implicitly suggested reference point (the "anchor") and make adjustments to it to reach their estimate. For example, the initial price offered for a used car sets the standard for the rest of the negotiations, so that prices lower than the initial price seem more reasonable even if they are still higher than what the car is worth.
Apophenia, also known as patternicity,or agenticity, is the human tendency to perceive meaningful patterns within random data. Apophenia is well documented as a rationalization for gambling. Gamblers may imagine that they see patterns in the numbers which appear in lotteries, card games, or roulette wheels. One manifestation of this is known as the "gambler's fallacy".
Pareidolia is the visual or auditory form of apophenia. It has been suggested that pareidolia combined with hierophany may have helped ancient societies organize chaos and make the world intelligible.
An attribution bias can happen when individuals assess or attempt to discover explanations behind their own and others' behaviors.People make attributions about the causes of their own and others' behaviors; but these attributions don't necessarily precisely reflect reality. Rather than operating as objective perceivers, individuals are inclined to perceptual slips that prompt biased understandings of their social world. When judging others we tend to assume their actions are the result of internal factors such as personality, whereas we tend to assume our own actions arise because of the necessity of external circumstances. There are a wide range of sorts of attribution biases, such as the ultimate attribution error, fundamental attribution error, actor-observer bias, and self-serving bias.
Examples of attribution bias:
Confirmation bias is the tendency to search for, interpret, favor, and recall information in a way that confirms one's beliefs or hypotheses while giving disproportionately less attention to information that contradicts it.The effect is stronger for emotionally charged issues and for deeply entrenched beliefs. People also tend to interpret ambiguous evidence as supporting their existing position. Biased search, interpretation and memory have been invoked to explain attitude polarization (when a disagreement becomes more extreme even though the different parties are exposed to the same evidence), belief perseverance (when beliefs persist after the evidence for them is shown to be false), the irrational primacy effect (a greater reliance on information encountered early in a series) and illusory correlation (when people falsely perceive an association between two events or situations). Confirmation biases contribute to overconfidence in personal beliefs and can maintain or strengthen beliefs in the face of contrary evidence. Poor decisions due to these biases have been found in political and organizational contexts.
Framing involves the social construction of social phenomena by mass media sources, political or social movements, political leaders, and so on. It is an influence over how people organize, perceive, and communicate about reality.It can be positive or negative, depending on the audience and what kind of information is being presented. For political purposes, framing often presents facts in such a way that implicates a problem that is in need of a solution. Members of political parties attempt to frame issues in a way that makes a solution favoring their own political leaning appear as the most appropriate course of action for the situation at hand. As understood in social theory, framing is a schema of interpretation, a collection of anecdotes and stereotypes, that individuals rely on to understand and respond to events. People use filters to make sense of the world, the choices they then make are influenced by their creation of a frame.
Cultural bias is the related phenomenon of interpreting and judging phenomena by standards inherent to one's own culture. Numerous such biases exist, concerning cultural norms for color, location of body parts, mate selection, concepts of justice, linguistic and logical validity, acceptability of evidence, and taboos. Ordinary people may tend to imagine other people as basically the same, not significantly more or less valuable, probably attached emotionally to different groups and different land.
The halo effect and the horn effect are when an observer's overall impression of a person, organization, brand, or product influences their feelings about specifics of that entity's character or properties.
The name halo effect is based on the concept of the saint's halo, and is a specific type of confirmation bias, wherein positive sentiments in one area cause questionable or unknown characteristics to be seen positively. If the observer likes one aspect of something, they will have a positive predisposition toward everything about it.A person's appearance has been found to produce a halo effect. The halo effect is also present in the field of brand marketing, affecting perception of companies and non-governmental organizations (NGOs).
The opposite of the halo is the horn effect, when "individuals believe (that negative) traits are inter-connected." [ citation needed ] It works in a negative direction: if the observer dislikes one aspect of something, they will have a negative predisposition towards other aspects.The term horn effect refers to Devil's horns.
Both of these bias effects often clash with phrases such as "words mean something"and "Your words have a history."
Self-serving bias is the tendency for cognitive or perceptual processes to be distorted by the individual's need to maintain and enhance self-esteem.It is the propensity to credit accomplishment to our own capacities and endeavors, yet attribute failure to outside factors, to dismiss the legitimacy of negative criticism, concentrate on positive qualities and accomplishments yet disregard flaws and failures. Studies have demonstrated that this bias can affect behavior in the workplace, in interpersonal relationships, playing sports, and in consumer decisions.
Status quo bias is an emotional bias; a preference for the current state of affairs. The current baseline (or status quo) is taken as a reference point, and any change from that baseline is perceived as a loss. Status quo bias should be distinguished from a rational preference for the status quo ante, as when the current state of affairs is objectively superior to the available alternatives, or when imperfect information is a significant problem. A large body of evidence, however, shows that status quo bias frequently affects human decision-making.
A conflict of interest is when a person or association has intersecting interests (financial, personal, etc.) which could potentially corrupt. The potential conflict is autonomous of actual improper actions, it can be found and intentionally defused before corruption, or the appearance of corruption, happens. "A conflict of interest is a set of circumstances that creates a risk that professional judgement or actions regarding a primary interest will be unduly influenced by a secondary interest."It exists if the circumstances are sensibly accepted to present a hazard that choices made may be unduly affected by auxiliary interests.
Bribery is giving of money, goods or other forms of recompense to in order to influence the recipient's behavior.Bribes can include money (including tips), goods, rights in action, property, privilege, emolument, gifts, perks, skimming, return favors, discounts, sweetheart deals, kickbacks, funding, donations, campaign contributions, sponsorships, stock options, secret commissions, or promotions. Expectations of when a monetary transaction is appropriate can differ from place to place. Political campaign contributions in the form of cash are considered criminal acts of bribery in some countries, while in the United States they are legal provided they adhere to election law. Tipping, is considered bribery in some societies, but not others.
Favoritism, sometimes known as in-group favoritism, or in-group bias, refers to a pattern of favoring members of one's in-group over out-group members. This can be expressed in evaluation of others, in allocation of resources, and in many other ways.This has been researched by psychologists, especially social psychologists, and linked to group conflict and prejudice. Cronyism is favoritism of long-standing friends, especially by appointing them to positions of authority, regardless of their qualifications. Nepotism is favoritism granted to relatives.
Lobbying is the attempt to influence choices made by administrators, frequently lawmakers or individuals from administrative agencies.Lobbyists may be among a legislator's constituencies, or not; they may engage in lobbying as a business, or not. Lobbying is often spoken of with contempt, the implication is that people with inordinate socioeconomic power are corrupting the law in order to serve their own interests. When people who have a duty to act on behalf of others, such as elected officials with a duty to serve their constituents' interests or more broadly the common good, stand to benefit by shaping the law to serve the interests of some private parties, there is a conflict of interest. This can lead to all sides in a debate looking to sway the issue by means of lobbyists.
Self-regulation is the process whereby an organization monitors its own adherence to legal, ethical, or safety standards, rather than have an outside, independent agency such as a third party entity monitor and enforce those standards.Self-regulation of any group can create a conflict of interest. If any organization, such as a corporation or government bureaucracy, is asked to eliminate unethical behavior within their own group, it may be in their interest in the short run to eliminate the appearance of unethical behavior, rather than the behavior itself.
Regulatory capture is a form of political corruption that can occur when a regulatory agency, created to act in the public interest, instead advances the commercial or political concerns of special interest groups that dominate the industry or sector it is charged with regulating.Regulatory capture occurs because groups or individuals with a high-stakes interest in the outcome of policy or regulatory decisions can be expected to focus their resources and energies in attempting to gain the policy outcomes they prefer, while members of the public, each with only a tiny individual stake in the outcome, will ignore it altogether. Regulatory capture is a risk to which a regulatory agency is exposed by its very nature.
Shilling is deliberately giving spectators the feeling that one is an energetic autonomous client of a vendor for whom one is working. The effectiveness of shilling relies on crowd psychology to encourage other onlookers or audience members to purchase the goods or services (or accept the ideas being marketed). Shilling is illegal in some places, but legal in others.An example of shilling is paid reviews that give the impression of being autonomous opinions.
Statistical bias is a systematic tendency in the process of data collection, which results in lopsided, misleading results. This can occur in any of a number of ways, in the way the sample is selected, or in the way data are collected.It is a property of a statistical technique or of its results whereby the expected value of the results differs from the true underlying quantitative parameter being estimated.
A forecast bias is when there are consistent differences between results and the forecasts of those quantities; that is: forecasts may have an overall tendency to be too high or too low.
The observer-expectancy effect is when a researcher's expectations cause them to subconsciously influence the people participating in an experiment. It is usually controlled using a double-blind system, and was an important reason for the development of double-blind experiments.
In epidemiology and empirical research, reporting bias is defined as "selective revealing or suppression of information" of undesirable behavior by subjectsor researchers. It refers to a tendency to under-report unexpected or undesirable experimental results, while being more trusting of expected or desirable results. This can propagate, as each instance reinforces the status quo, and later experimenters justify their own reporting bias by observing that previous experimenters reported different results.
Social desirability bias is a bias within social science research where survey respondents can tend to answer questions in a manner that will be viewed positively by others.It can take the form of over-reporting laudable behavior, or under-reporting undesirable behavior. This bias interferes with the interpretation of average tendencies as well as individual differences. The inclination represents a major issue with self-report questionnaires; of special concern are self-reports of abilities, personalities, sexual behavior, and drug use.
Selection bias is the, conscious or unconscious, bias introduced into a study by the way individuals, groups or data are selected for analysis, if such a way means that true randomization is not achieved, thereby ensuring that the sample obtained is not representative of the population intended to be analyzed.This results in a sample that may be significantly different from the overall population.
Bias and prejudice are usually considered to be closely related.Prejudice is prejudgment, or forming an opinion before becoming aware of the relevant facts of a case. The word is often used to refer to preconceived, usually unfavorable, judgments toward people or a person because of gender, political opinion, social class, age, disability, religion, sexuality, race/ethnicity, language, nationality, or other personal characteristics. Prejudice can also refer to unfounded beliefs and may include "any unreasonable attitude that is unusually resistant to rational influence".
Classism is discrimination on the basis of social class. It includes attitudes that benefit the upper class at the expense of the lower class, or vice versa.
Lookism is stereotypes, prejudice, and discrimination on the basis of physical attractiveness, or more generally to people whose appearance matches cultural preferences.Many people make automatic judgments of others based on their physical appearance that influence how they respond to those people.
Racism consists of ideologies based on a desire to dominate or a belief in the inferiority of another race.It may also hold that members of different races should be treated differently.
Sexism is discrimination based on a person's sex or gender. Sexism can affect any gender, but it is particularly documented as affecting women and girls.It has been linked to stereotypes and gender roles, and may include the belief that one sex or gender is intrinsically superior to another.
Academic bias is the bias or perceived bias of scholars allowing their beliefs to shape their research and the scientific community. Claims of bias are often linked to claims by conservatives of pervasive bias against political conservatives and religious Christians.Some have argued that these claims are based upon anecdotal evidence which would not reliably indicate systematic bias, and have suggested that this divide is due to self-selection of conservatives choosing not to pursue academic careers. There is some evidence that perception of classroom bias may be rooted in issues of sexuality, race, class and sex as much or more than in religion.
In science research, experimenter bias occurs when experimenter expectancies regarding study results bias the research outcome.Examples of experimenter bias include conscious or unconscious influences on subject behavior including creation of demand characteristics that influence subjects, and altered or selective recording of experimental results themselves.
Funding bias refers to the tendency of a scientific study to support the interests of the study's financial sponsor. This phenomenon is recognized sufficiently that researchers undertake studies to examine bias in past published studies.It can be caused by any or all of: a conscious or subconscious sense of obligation of researchers towards their employers, misconduct or malpractice, publication bias, or reporting bias.
Full text on net (or FUTON) bias is a tendency of scholars to cite academic journals with open access—that is, journals that make their full text available on the internet without charge—in their own writing as compared with toll access publications. Scholars can more easily discover and access articles that have their full text on the internet, which increases authors' likelihood of reading, quoting, and citing these articles, this may increase the impact factor of open access journals relative to journals without open access.
The related bias, no abstract available bias (NAA bias) is scholars' tendency to cite journal articles that have an abstract available online more readily than articles that do not.
Publication bias is a type of bias with regard to what academic research is likely to be published because of a tendency of researchers, and journal editors, to prefer some outcomes rather than others e.g. results showing a significant finding, leads to a problematic bias in the published literature.This can propagate further as literature reviews of claims about support for a hypothesis will themselves be biased if the original literature is contaminated by publication bias. Studies with significant results often do not appear to be superior to studies with a null result with respect to quality of design. However, statistically significant results have been shown to be three times more likely to be published compared to papers with null results.
Driving while black refers to the racial profiling of African American drivers. The phrase implies that a motorist might be pulled over by a police officer, questioned, and searched, because of a racial bias.
Racial profiling, or ethnic profiling, is the act of suspecting or targeting a person of a certain race on the basis of racially observed characteristics or behavior, rather than on individual suspicion.Racial profiling is commonly referred to regarding its use by law enforcement, and its leading to discrimination against minorities.
Victim blaming occurs when the victim of a wrongful act is held at fault for the harm that befell them.The study of victimology seeks to mitigate the perception of victims as responsible.
Media bias is the bias or perceived bias of journalists and news producers within the mass media in the selection of events, the stories that are reported, and how they are covered. The term generally implies a pervasive or widespread bias violating the standards of journalism, rather than the perspective of an individual journalist or article.The level of media bias in different nations is debated. There are also watchdog groups that report on media bias.
Practical limitations to media neutrality include the inability of journalists to report all available stories and facts, the requirement that selected facts be linked into a coherent narrative, government influence including overt and covert censorship,the influence of the owners of the news source, concentration of media ownership, the selection of staff, the preferences of an intended audience, and pressure from advertisers.
Bias has been a feature of the mass media since its birth with the invention of the printing press. The expense of early printing equipment restricted media production to a limited number of people. Historians have found that publishers often served the interests of powerful social groups.
Agenda setting describes the capacity of the media to focus on particular stories, if a news item is covered frequently and prominently, the audience will regard the issue as more important. That is, its salience will increase.
Gatekeeping is the way in which information and news are filtered to the public, by each person or corporation along the way. It is the "process of culling and crafting countless bits of information into the limited number of messages that reach people every day, and it is the center of the media's role in modern public life. [...] This process determines not only which information is selected, but also what the content and nature of the messages, such as news, will be."
Sensationalism is when events and topics in news stories and pieces are overhyped to present skewed impressions of events, which may cause a misrepresentation of the truth of a story.Sensationalism may involve reporting about insignificant matters and events, or the presentation of newsworthy topics in a trivial or tabloid manner contrary to the standards of professional journalism.
Bias in education refers to real or perceived bias in the educational system. The content of school textbooks is often the issue of debate, as their target audience is young people, and the term "whitewashing" is used to refer to selective removal of critical or damaging evidence or comment.Religious bias in textbooks is observed in countries where religion plays a dominant role. There can be many forms of educational bias. Some overlooked aspects, occurring especially with the pedagogical circles of public and private schools—sources that are unrelated to fiduciary or mercantile impoverishment which may be unduly magnified—include teacher bias as well as a general bias against women who are going into STEM research.
Inductive bias occurs within the field of machine learning. In machine learning one seeks to develop algorithms that are able to learn to anticipate a particular output. To accomplish this, the learning algorithm is given training cases that show the expected connection. Then the learner is tested with new examples. Without further assumptions, this problem cannot be solved exactly as unknown situations may not be predictable.The inductive bias of the learning algorithm is the set of assumptions that the learner uses to predict outputs given inputs that it has not encountered. It may bias the learner towards the correct solution, the incorrect, or be correct some of the time. A classical example of an inductive bias is Occam's Razor, which assumes that the simplest consistent hypothesis is the best.
Insider trading is the trading of a public company's stock or other securities (such as bonds or stock options) by individuals with access to non-public information about the company. In various countries, trading based on insider information is illegal because it is seen as unfair to other investors who do not have access to the information as the investor with insider information could potentially make far larger profits that a typical investor could make.
In organized sports, match fixing occurs when a match is played to a completely or partially pre-determined result, violating the rules of the game and often the law.There is a variety of reasons for this, but the most common is in exchange for a payoff from gamblers. Players might also intentionally perform poorly to get an advantage in the future (such as a better draft pick, or an easier opponent in a playoff), or to rig a handicap system. Match-fixing generally refers to fixing the final result of the game. Another form of match-fixing, known as spot-fixing, involves fixing small events within a match which can be gambled upon, but which are unlikely to prove decisive in determining the final result of the game.
A cognitive bias is a systematic pattern of deviation from norm or rationality in judgment. Individuals create their own "subjective reality" from their perception of the input. An individual's construction of reality, not the objective input, may dictate their behavior in the world. Thus, cognitive biases may sometimes lead to perceptual distortion, inaccurate judgment, illogical interpretation, or what is broadly called irrationality.
Confirmation bias is the tendency to search for, interpret, favor, and recall information in a way that confirms or strengthens one's prior personal beliefs or hypotheses. It is a type of cognitive bias. People display this bias when they gather or remember information selectively, or when they interpret it in a biased way. The effect is stronger for desired outcomes, for emotionally charged issues, and for deeply-entrenched beliefs.
Prejudice is an affective feeling towards a person based on their perceived group membership. The word is often used to refer to a preconceived, usually unfavourable, evaluation of another person based on that person's political affiliation, sex, gender, beliefs, values, social class, age, disability, religion, sexuality, race/ethnicity, language, nationality, beauty, occupation, education, criminality, sport team affiliation or other personal characteristics.
In the field of psychology, cognitive dissonance is the experience of psychological stress that occurs when a person holds two or more contradictory beliefs, ideas, values, or participates in an action that goes against one of these three. According to this theory, when two actions or ideas are not psychologically consistent with each other, people will do all in their power to change them until they become consistent. The discomfort is triggered by the person's belief clashing with new information perceived, wherein they will try to find a way to resolve the contradiction to reduce their discomfort.
In social psychology, fundamental attribution error (FAE), also known as correspondence bias or attribution effect, is the tendency for people to under-emphasize situational explanations for an individual's observed behavior while over-emphasizing dispositional and personality-based explanations for their behavior. This effect has been described as "the tendency to believe that what people do reflects who they are".
Trait ascription bias is the tendency for people to view themselves as relatively variable in terms of personality, behavior and mood while viewing others as much more predictable in their personal traits across different situations. More specifically, it is a tendency to describe one's own behaviour in terms of situational factors while preferring to describe another's behaviour by ascribing fixed dispositions to their personality. This may occur because peoples' own internal states are more readily observable and available to them than those of others.
In psychology, the false-consensus effect or false-consensus bias is an attributional type of cognitive bias whereby people tend to overestimate the extent to which their own opinions, beliefs, preferences, values, and habits are normal and typical of those of others. This cognitive bias tends to lead to the perception of a consensus that does not exist, a "false consensus".
Halo effect is the tendency for positive impressions of a person, company, brand or product in one area to positively influence one's opinion or feelings in other areas. It is a type of cognitive bias and is the opposite of the horn effect.
In-group favoritism, sometimes known as in-group–out-group bias, in-group bias, intergroup bias, or in-group preference, is a pattern of favoring members of one's in-group over out-group members. This can be expressed in evaluation of others, in allocation of resources, and in many other ways.
In sociology and social psychology, an in-group is a social group to which a person psychologically identifies as being a member. By contrast, an out-group is a social group with which an individual does not identify. People may for example identify with their peer group, family, community, sports team, political party, gender, religion, or nation. It has been found that the psychological membership of social groups and categories is associated with a wide variety of phenomena.
Susan Tufts Fiske is the Eugene Higgins Professor of Psychology and Public Affairs in the Department of Psychology at Princeton University. She is a social psychologist known for her work on social cognition, stereotypes, and prejudice. Fiske leads the Intergroup Relations, Social Cognition, and Social Neuroscience Lab at Princeton University. Her theoretical contributions include the development of the stereotype content model, ambivalent sexism theory, power as control theory, and the continuum model of impression formation.
In social psychology, a stereotype is an over-generalized belief about a particular category of people. It is an expectation that people might have about every person of a particular group. The type of expectation can vary; it can be, for example, an expectation about the group's personality, preferences, or ability.
Ambivalent sexism is a theoretical framework which posits that sexism has two sub-components: "hostile sexism" and "benevolent sexism". Hostile sexism reflects overtly negative evaluations and stereotypes about a gender. Benevolent sexism represents evaluations of gender that may appear subjectively positive, but are actually damaging to people and gender equality more broadly. For the most part, psychologists have studied hostile forms of sexism. However, theorists using the theoretical framework of ambivalent sexism have found extensive empirical evidence for both varieties. The theory has largely been developed by social psychologists Peter Glick and Susan Fiske.
Ambivalent prejudice is a social psychological theory that states that, when people become aware that they have conflicting beliefs about an outgroup, they experience an unpleasant mental feeling generally referred to as cognitive dissonance. These feelings are brought about because the individual on one hand believes in humanitarian virtues such as helping those in need, but on the other hand also believes in individualistic virtues such as working hard to improve one's life.
The women-are-wonderful effect is the phenomenon found in psychological and sociological research which suggests that people associate more positive attributes with women compared to men. This bias reflects an emotional bias toward women as a general case. The phrase was coined by Alice Eagly and Antonio Mladinic in 1994 after finding that both male and female participants tend to assign positive traits to women, with female participants showing a far more pronounced bias. Positive traits were assigned to men by participants of both genders, but to a lesser degree.
An implicit bias, or implicit stereotype, is the unconscious attribution of particular qualities to a member of a certain social group.
Nilanjana Dasgupta is a social psychologist whose work focuses on the effects of social contexts on implicit stereotypes - particularly on factors which insulate women in STEM fields from harmful stereotypes about their ability in those areas. Dasgupta is a Professor of Psychology and the Director of Faculty Equity and Inclusion in the College of Natural Sciences at the University of Massachusetts, Amherst
Prejudice can be considered from an evolutionary perspective. Evolutionary psychologists posit that our psychology, e.g. emotion and cognition, has not been uniquely isolated from the forces of evolution. Although there is psychological variation among individuals, the majority of our psychological mechanisms should be adaptations designed specifically to solve recurrent problems, many of which were social in nature, in our evolutionary history. To balance the costs and benefits of sociality we must be able to recognize and functionally respond to threats and opportunities, and our errors in judgment should be biased toward minimizing costs to reproductive fitness. Our implicit responses to others result from the activation of functionally specific adaptations to motivate action, either to take advantage of opportunities, avoid or confront threats. The valence—positive or negative—of those responses can be measured using implicit association tests. Unconscious, negative reactions are often referred to as prejudice, but these prejudices are much more contextually rich than simple, positive or negative affect, and often involve discrete emotions, which likely represent unique adaptations to motivate functionally distinct actions. Our evolved biases toward minimizing fitness costs may have implications for the function and/or malfunction of stigma, prejudice, and discriminatory behavior in post-industrial societies. Some common biases are discussed.
Intergroup relations refers to interactions between individuals in different social groups, and to interactions taking place between the groups themselves collectively. It has long been a subject of research in social psychology, political psychology, and organizational behavior.
Prejudice, discrimination, or antagonism directed against someone of a different race based on the belief that one's own race is superior:
racism: Belief that humans are subdivided into distinct groups that are different in their social behavior and innate capacities and that can be ranked as superior or inferior.