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How to Formulate a Hypothesis

Published: 2013/07/10

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Intro to Hypothesis Testing in Statistics - Hypothesis Testing Statistics Problems & Examples

Published: 2014/08/20

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Fact vs. Theory vs. Hypothesis vs. Law… EXPLAINED!

Published: 2015/09/21

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Null and Alternate Hypothesis - Statistical Hypothesis Testing - Statistics Course

Published: 2014/08/20

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What is Hypothesis? 13 Types of Hypothesis (Null & Alternative) - Research Methodology

Published: 2017/04/10

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The Scientific Method, Part 3: Writing a Hypothesis

Published: 2013/07/09

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Simple hypothesis testing | Probability and Statistics | Khan Academy

Published: 2014/02/07

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Hypothesis testing and p-values | Inferential statistics | Probability and Statistics | Khan Academy

Published: 2010/11/02

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Science Pirates Songs - Hypothesis Song

Published: 2010/09/25

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Types of Hypothesis

Published: 2013/12/05

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The Lollipop Hypothesis

Published: 2015/07/06

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Hypothesis Testing - Statistics

Published: 2015/04/07

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Hypothesis Definition - What Does Hypothesis Mean?

Published: 2009/11/15

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Testing of Hypothesis - concept, Null Hypothesis in hindi

Published: 2016/06/17

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Constructing a Hypothesis

Published: 2011/10/20

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The Simulation Hypothesis - FULL PROGRAM - HD (Original)

Published: 2015/10/07

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Hypothesis - Dr. Steven E. Jones - film o objevu nanotermitu v budovách WTC 9/11

Published: 2012/03/20

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How to write hypotheses

Published: 2013/12/22

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Research Questions Hypothesis and Variables

Published: 2013/05/21

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Difference between Null hypothesis and Alternative Hypothesis with simple example

Published: 2016/10/25

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What is Hypothesis? BA Social Science (Arts) Gurukpo

Published: 2015/07/24

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Statistics 101: Introduction to Hypothesis Formulation

Published: 2013/02/20

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The Zoo Hypothesis

Published: 2017/04/27

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Null and alternative hypotheses

Published: 2015/02/18

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Basic Logic of hypothesis testing

Published: 2015/02/18

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Lesson 11 - Hypothesis Testing For Means & Small Samples, Part 1

Published: 2016/08/19

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What is a null hypothesis (and alternate hypothesis)

Published: 2013/09/04

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Idea behind hypothesis testing | Probability and Statistics | Khan Academy

Published: 2015/01/27

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Small sample hypothesis test | Inferential statistics | Probability and Statistics | Khan Academy

Published: 2010/11/02

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Hypothesis Testing 02: 10 Steps

Published: 2013/09/14

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Riemann Hypothesis - Numberphile

Published: 2014/03/11

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Statistics Lecture 8.2: An Introduction to Hypothesis Testing

Published: 2011/12/16

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Stats: Hypothesis Testing (Traditional Method)

Published: 2012/04/17

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Hypothesis - Consulting Case Interview Prep

Published: 2014/08/28

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The Null Hypothesis and Research Hypothesis

Published: 2014/03/18

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As Level Psychology - Types of Hypothesis

Published: 2014/10/04

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Mod-21 Lec-21 Testing of Hypotheses : Basic Concepts

Published: 2013/06/11

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The DeBroglie Hypothesis

Published: 2015/01/19

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An Easy Rule to Setting Up the Null & Alternate Hypotheses! - Statistics Help

Published: 2014/09/01

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Vangelis "Hypothesis" 1971 Full Album

Published: 2016/01/13

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How To State the Null Hypothesis and Alternate Hypothesis

Published: 2014/09/26

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Efficient Markets Hypothesis (EMH) | Finance | Chegg Tutors

Published: 2016/03/10

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Writing Null and Alternative Hypotheses

Published: 2012/01/03

Channel: Steve Mays

Statistics 101: Single Sample Hypothesis t-test Concepts

Published: 2013/03/09

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Hypothesis Testing of the Population Proportion

Published: 2013/10/11

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Hypothesis Testing 2: null and alternative hypothesis (one sample t test)

Published: 2016/09/13

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Hypothesis Test for the Slope of a Regression Line

Published: 2012/04/18

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Hypothesis Tests for Equality of Two Variances

Published: 2012/11/05

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Stats: Hypothesis Testing (P-value Method)

Published: 2012/04/17

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Hypothesis Testing Example #1 Z Test

Published: 2015/04/23

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From Wikipedia, the free encyclopedia

Part of a series on |

Certainty |
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Related concepts and fundamentals: |

A **hypothesis** (plural **hypotheses**) is a proposed explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous observations that cannot satisfactorily be explained with the available scientific theories. Even though the words "hypothesis" and "theory" are often used synonymously, a scientific hypothesis is not the same as a scientific theory. A working hypothesis is a provisionally accepted hypothesis proposed for further research.^{[1]}

A different meaning of the term *hypothesis* is used in formal logic, to denote the antecedent of a proposition; thus in the proposition "If *P*, then *Q*", *P* denotes the hypothesis (or antecedent); *Q* can be called a consequent. *P* is the assumption in a (possibly counterfactual) *What If* question.

The adjective *hypothetical*, meaning "having the nature of a hypothesis", or "being assumed to exist as an immediate consequence of a hypothesis", can refer to any of these meanings of the term "hypothesis".

Remember, the way that you prove an implication is by assuming the

hypothesis. --Philip Wadler^{[2]}

In its ancient usage, *hypothesis* referred to a summary of the plot of a classical drama. The English word *hypothesis* comes from the ancient Greek ὑπόθεσις word *hupothesis*, meaning "to put under" or "to suppose".^{[1]}

In Plato's *Meno* (86e–87b), Socrates dissects virtue with a method used by mathematicians,^{[3]} that of "investigating from a hypothesis."^{[4]} In this sense, 'hypothesis' refers to a clever idea or to a convenient mathematical approach that simplifies cumbersome calculations.^{[5]} Cardinal Bellarmine gave a famous example of this usage in the warning issued to Galileo in the early 17th century: that he must not treat the motion of the Earth as a reality, but merely as a hypothesis.^{[6]}

In common usage in the 21st century, a *hypothesis* refers to a provisional idea whose merit requires evaluation. For proper evaluation, the framer of a hypothesis needs to define specifics in operational terms. A hypothesis requires more work by the researcher in order to either confirm or disprove it. In due course, a confirmed hypothesis may become part of a theory or occasionally may grow to become a theory itself. Normally, scientific hypotheses have the form of a mathematical model.^{[7]} Sometimes, but not always, one can also formulate them as existential statements, stating that some particular instance of the phenomenon under examination has some characteristic and causal explanations, which have the general form of universal statements, stating that every instance of the phenomenon has a particular characteristic.

In entrepreneurial science, a hypothesis is used to formulate provisional ideas within a business setting. The formulated hypothesis is then evaluated where either the hypothesis is proven to be "true" or "false" through a verifiability- or falsifiability-oriented Experiment.^{[8]}^{[9]}^{[10]}

Any useful hypothesis will enable predictions by reasoning (including deductive reasoning). It might predict the outcome of an experiment in a laboratory setting or the observation of a phenomenon in nature. The prediction may also invoke statistics and only talk about probabilities. Karl Popper, following others, has argued that a hypothesis must be falsifiable, and that one cannot regard a proposition or theory as scientific if it does not admit the possibility of being shown false. Other philosophers of science have rejected the criterion of falsifiability or supplemented it with other criteria, such as verifiability (e.g., verificationism) or coherence (e.g., confirmation holism). The scientific method involves experimentation, to test the ability of some hypothesis to adequately answer the question under investigation. In contrast, unfettered observation is not as likely to raise unexplained issues or open questions in science, as would the formulation of a crucial experiment to test the hypothesis. A thought experiment might also be used to test the hypothesis as well.

In framing a hypothesis, the investigator must not currently know the outcome of a test or that it remains reasonably under continuing investigation. Only in such cases does the experiment, test or study potentially increase the probability of showing the truth of a hypothesis.^{[11]}^{:pp17,49–50} If the researcher already knows the outcome, it counts as a "consequence" — and the researcher should have already considered this while formulating the hypothesis. If one cannot assess the predictions by observation or by experience, the hypothesis needs to be tested by others providing observations. For example, a new technology or theory might make the necessary experiments feasible.

People refer to a trial solution to a problem as a hypothesis, often called an "educated guess"^{[12]}^{[13]} because it provides a suggested solution based on the evidence. However, some scientists reject the term "educated guess" as incorrect. Experimenters may test and reject several hypotheses before solving the problem.

According to Schick and Vaughn,^{[14]} researchers weighing up alternative hypotheses may take into consideration:

- Testability (compare falsifiability as discussed above)
- Parsimony (as in the application of "Occam's razor", discouraging the postulation of excessive numbers of entities)
- Scope – the apparent application of the hypothesis to multiple cases of phenomena
- Fruitfulness – the prospect that a hypothesis may explain further phenomena in the future
- Conservatism – the degree of "fit" with existing recognized knowledge-systems.

A working hypothesis is a hypothesis that is provisionally accepted as a basis for further research^{[15]} in the hope that a tenable theory will be produced, even if the hypothesis ultimately fails.^{[16]} Like all hypotheses, a working hypothesis is constructed as a statement of expectations, which can be linked to the exploratory research purpose in empirical investigation. Working hypotheses are often used as a conceptual framework in qualitative research.^{[17]}^{[18]}

The provisional nature of working hypotheses make them useful as an organizing device in applied research. Here they act like a useful guide to address problems that are still in a formative phase.^{[19]}

In recent years, philosophers of science have tried to integrate the various approaches to evaluating hypotheses, and the scientific method in general, to form a more complete system that integrates the individual concerns of each approach. Notably, Imre Lakatos and Paul Feyerabend, Karl Popper's colleague and student, respectively, have produced novel attempts at such a synthesis.

Concepts in Hempel's deductive-nomological model play a key role in the development and testing of hypotheses. Most formal hypotheses connect concepts by specifying the expected relationships between propositions. When a set of hypotheses are grouped together they become a type of conceptual framework. When a conceptual framework is complex and incorporates causality or explanation it is generally referred to as a theory. According to noted philosopher of science Carl Gustav Hempel "An adequate empirical interpretation turns a theoretical system into a testable theory: The hypothesis whose constituent terms have been interpreted become capable of test by reference to observable phenomena. Frequently the interpreted hypothesis will be derivative hypotheses of the theory; but their confirmation or disconfirmation by empirical data will then immediately strengthen or weaken also the primitive hypotheses from which they were derived."^{[20]}

Hempel provides a useful metaphor that describes the relationship between a conceptual framework and the framework as it is observed and perhaps tested (interpreted framework). "The whole system floats, as it were, above the plane of observation and is anchored to it by rules of interpretation. These might be viewed as strings which are not part of the network but link certain points of the latter with specific places in the plane of observation. By virtue of those interpretative connections, the network can function as a scientific theory."^{[21]} Hypotheses with concepts anchored in the plane of observation are ready to be tested. In "actual scientific practice the process of framing a theoretical structure and of interpreting it are not always sharply separated, since the intended interpretation usually guides the construction of the theoretician."^{[22]} It is, however, "possible and indeed desirable, for the purposes of logical clarification, to separate the two steps conceptually."^{[22]}

When a possible correlation or similar relation between phenomena is investigated, such as whether a proposed remedy is effective in treating a disease, the hypothesis that a relation exists cannot be examined the same way one might examine a proposed new law of nature. In such an investigation, if the tested remedy shows no effect in a few cases, these do not necessarily falsify the hypothesis. Instead, statistical tests are used to determine how likely it is that the overall effect would be observed if the hypothesized relation does not exist. If that likelihood is sufficiently small (e.g., less than 1%), the existence of a relation may be assumed. Otherwise, any observed effect may be due to pure chance.

In statistical hypothesis testing, two hypotheses are compared. These are called the null hypothesis and the alternative hypothesis. The null hypothesis is the hypothesis that states that there is no relation between the phenomena whose relation is under investigation, or at least not of the form given by the alternative hypothesis. The alternative hypothesis, as the name suggests, is the alternative to the null hypothesis: it states that there *is* some kind of relation. The alternative hypothesis may take several forms, depending on the nature of the hypothesized relation; in particular, it can be two-sided (for example: there is *some* effect, in a yet unknown direction) or one-sided (the direction of the hypothesized relation, positive or negative, is fixed in advance).^{[23]}

Conventional significance levels for testing hypotheses (acceptable probabilities of wrongly rejecting a true null hypothesis) are .10, .05, and .01. Whether the null hypothesis is rejected and the alternative hypothesis is accepted, must be determined in advance, before the observations are collected or inspected. If these criteria are determined later, when the data to be tested are already known, the test is invalid.^{[24]}

The above procedure is actually dependent on the number of the participants (units or sample size) that is included in the study. For instance, the sample size may be too small to reject a null hypothesis and, therefore, it is recommended to specify the sample size from the beginning. It is advisable to define a small, medium and large effect size for each of a number of important statistical tests which are used to test the hypotheses.^{[25]}

Wikisource has the text of the 1911 Encyclopædia Britannica article .Hypothesis |

- Axiom
- Case study
- Conjecture
- Explanandum
- Hypothesis theory – a research area in cognitive psychology
- Logical positivism
- Operationalization
*Philosophiae Naturalis Principia Mathematica*– for Newton's position on hypotheses- Reductionism
- Research design
- Sociology of scientific knowledge
- Theorem
- Thesis statement

- ^
^{a}^{b}Hilborn, Ray; Mangel, Marc (1997).*The ecological detective: confronting models with data*. Princeton University Press. p. 24. ISBN 978-0-691-03497-3. Retrieved 22 August 2011. **^**Philip Wadler, 2 November 2015 Keynote: Propositions as Types. Minute 14:36 /55:28 of Code Mesh video clip**^**Wilbur R. Knorr, "Construction as existence proof in ancient geometry", p. 125, as selected by Jean Christianidis (ed.),*Classics in the history of Greek mathematics*, Kluwer.**^**Gregory Vlastos, Myles Burnyeat (1994)*Socratic studies*, Cambridge ISBN 0-521-44735-6, p. 1**^**"Neutral hypotheses, those of which the subject matter can never be directly proved or disproved, are very numerous in all sciences." — Morris Cohen and Ernest Nagel (1934)*An introduction to logic and scientific method*p. 375. New York: Harcourt, Brace, and Company.**^**"Bellarmine (Ital.*Bellarmino*), Roberto Francesco Romolo",*Encyclopædia Britannica*, Eleventh Edition.: 'Bellarmine did not proscribe the Copernican system ... all he claimed was that it should be presented as a hypothesis until it should receive scientific demonstration.' This article incorporates text from a publication now in the public domain: Chisholm, Hugh, ed. (1911). "Hypothesis".*Encyclopædia Britannica*.**14**(11th ed.). Cambridge University Press. p. 208.**^**Crease, Robert P. (2008)*The Great Equations*ISBN 978-0-393-06204-5, p.112 lists the conservation of energy as an example of accounting a constant of motion. Hypothesized by Sadi Carnot, truth demonstrated by James Prescott Joule, proven by Emmy Noether.**^**Harvard Business Review (2013) "Why Lean Startup Changes Everything"**^**Tristan Kromer 2014 "Success Metric vs. Fail Condition"**^**Lean Startup Circle "What is Lean Startup?"**^**Popper 1959**^**"When it is not clear under which law of nature an effect or class of effect belongs, we try to fill this gap by means of a guess. Such guesses have been given the name*conjectures*or*hypotheses*.", Hans Christian Ørsted(1811) "First Introduction to General Physics" ¶18.*Selected Scientific Works of Hans Christian Ørsted*, ISBN 0-691-04334-5 p.297**^**"In general we look for a new law by the following process. First we guess it. ...", —Richard Feynman (1965)*The Character of Physical Law*p.156**^**Schick, Theodore; Vaughn, Lewis (2002).*How to think about weird things: critical thinking for a New Age*. Boston: McGraw-Hill Higher Education. ISBN 0-7674-2048-9.**^***Oxford Dictionary of Sports Science & Medicine*. Eprint via Answers.com.**^**See in "hypothesis",*Century Dictionary Supplement*, v. 1, 1909, New York: The Century Company. Reprinted, v. 11, p. 616 (via*Internet Archive*) of the*Century Dictionary and Cyclopedia*, 1911.**hypothesis**[...]—**Working hypothesis**, a hypothesis suggested or supported in some measure by features of observed facts, from which consequences may be deduced which can be tested by experiment and special observations, and which it is proposed to subject to an extended course of such investigation, with the hope that, even should the hypothesis thus be overthrown, such research may lead to a tenable theory.**^**Patricia M. Shields, Hassan Tajalli (2006). "Intermediate Theory: The Missing Link in Successful Student Scholarship".*Journal of Public Affairs Education*.**12**(3): 313–334.**^**Patricia M. Shields (1998). "Pragmatism As a Philosophy of Science: A Tool For Public Administration". In Jay D. White.*Research in Public Administration*.**4**. pp. 195–225 [211]. ISBN 1-55938-888-9.**^**Patricia M. Shields and Nandhini Rangarajan. 2013.*A Playbook for Research Methods*: Integrating Conceptual Frameworks and Project Management]. Stillwater, OK: New Forums Press. pp. 109-157**^**Hempel, C. G. (1952). Fundamentals of concept formation in empirical science. Chicago, Illinois: The University of Chicago Press, p. 36**^**Hempel, C. G. (1952). Fundamentals of concept formation in empirical science. Chicago, Illinois: The University of Chicago Press, p. 36.- ^
^{a}^{b}Hempel, C. G. (1952). Fundamentals of concept formation in empirical science. Chicago, Illinois: The University of Chicago Press, p. 33. **^**Altman. DG.,*Practical Statistics for Medical Research*, CRC Press, 1990, Section 8.5,**^**Mellenbergh, G.J.(2008). Chapter 8: Research designs: Testing of research hypotheses. In H.J. Adèr & G.J. Mellenbergh (Eds.) (with contributions by D.J. Hand), Advising on Research Methods: A consultant's companion (pp. 183-209). Huizen, The Netherlands: Johannes van Kessel Publishing**^**Altman. DG.,*Practical Statistics for Medical Research*, CRC Press, 1990, Section 15.3,

- Popper, Karl R. (1959),
*The Logic of Scientific Discovery*1934, 1959.

Look up in Wiktionary, the free dictionary.hypothesis |

Wikiversity has learning resources about Hypothesis |

- "How science works",
*Understanding Science*by the University of California Museum of Paleontology.

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