Ein Typ-I-Fehler liegt vor, wenn die Nullhypothese
A Type I error occurs when the null hypothesis
Literalmente: A Type-I-error lies present, when the null-hypothesis
Use this to formally define a false positive in scientific or highly logical contexts.
En 15 segundos
- A statistical 'false alarm' where you see a non-existent pattern.
- Used to define rejecting a true null hypothesis in research.
- Highly formal and academic, common in university and data contexts.
Significado
This phrase is used to define a 'false positive' in statistics. It describes the specific mistake of rejecting a claim that is actually true.
Ejemplos clave
3 de 6In a university seminar
Ein Typ-I-Fehler liegt vor, wenn die Nullhypothese fälschlicherweise verworfen wird.
A Type I error occurs when the null hypothesis is wrongly rejected.
Discussing a medical test result
Wir müssen sicherstellen, dass kein Typ-I-Fehler vorliegt, bevor wir die Diagnose stellen.
We must ensure no Type I error exists before making the diagnosis.
A humorous observation about dating
Ich dachte, er flirtet mit mir, aber es war wohl nur ein Typ-I-Fehler meiner Wahrnehmung.
I thought he was flirting with me, but it was probably just a Type I error of my perception.
Contexto cultural
This phrase stems from the Neyman-Pearson framework of statistics, which is the backbone of modern scientific research in Germany. German culture deeply values 'Wissenschaftlichkeit' (scientific nature), and using precise terminology like this is a sign of high education and logical reliability.
The Alpha Connection
Remember that a Type I error is often called an `Alpha-Fehler`. If you want to sound even more like a math pro, use that term!
Don't mix them up!
A Type II error (`Typ-II-Fehler`) is the opposite: failing to see a pattern that actually exists. Don't swap them in your exam!
En 15 segundos
- A statistical 'false alarm' where you see a non-existent pattern.
- Used to define rejecting a true null hypothesis in research.
- Highly formal and academic, common in university and data contexts.
What It Means
Imagine you are a security guard at a museum. Your job is to catch thieves. One night, the alarm goes off loudly. You rush to the room, but nobody is there. It was just a spider crawling on the sensor. In statistics, this is exactly what a Typ-I-Fehler is. You thought you found something important, but it was just noise. You rejected the idea that 'nothing is happening' (the null hypothesis) when you shouldn't have. It is the classic 'false alarm' of the scientific world. You are seeing a pattern where none exists.
How To Use It
You will mostly encounter this phrase in academic or technical settings. It acts as a formal introduction to a definition. Because it ends with wenn die Nullhypothese, you must complete the sentence. Usually, you would say fälschlicherweise abgelehnt wird (is wrongly rejected). It sounds very smart and precise. You can use it to explain why a study might be wrong. It shows you understand the risks of data analysis. Even in casual settings, you can use it as a joke. It suggests you are overthinking a situation or seeing signs that aren't there.
When To Use It
Use this phrase during university lectures or research presentations. It is perfect for discussing the results of an experiment. If you are writing a thesis in German, you will definitely need this. You can also use it in a professional meeting about data. If a colleague claims a new marketing campaign is a huge success, you might ask about the risk of a Typ-I-Fehler. It implies that the success might just be a coincidence. It is a great way to sound like a rigorous thinker.
When NOT To Use It
Do not use this phrase for everyday mistakes. If you drop your coffee, that is not a Typ-I-Fehler. If you forget your friend's birthday, don't use this term. It is far too technical for emotional or physical accidents. Using it while ordering food or chatting at a bar will make you sound like a robot. Unless you are making a specific geeky joke, keep it out of small talk. It belongs in the world of logic, math, and evidence.
Cultural Background
Germany has a very strong tradition of engineering and scientific rigor. Precision in language is highly valued in German academia. Using the exact term Typ-I-Fehler instead of just saying 'a mistake' shows respect for the method. It reflects the German desire for Eindeutigkeit (unambiguity). In German universities, students are expected to use these specific terms early on. It is part of the 'academic socialization' process. It shows you are part of the intellectual community.
Common Variations
You might also hear people call it an Alpha-Fehler. This refers to the Greek letter alpha, which represents the significance level. Another variation is talking about the Fehler erster Art. Both mean exactly the same thing. In more casual tech circles, people might just say falsch-positiv. However, the full phrase with Nullhypothese is the gold standard for formal writing. It sounds much more authoritative and complete.
Notas de uso
This is a high-register academic phrase. Always ensure you use the passive voice correctly at the end of the sentence to maintain the formal tone.
The Alpha Connection
Remember that a Type I error is often called an `Alpha-Fehler`. If you want to sound even more like a math pro, use that term!
Don't mix them up!
A Type II error (`Typ-II-Fehler`) is the opposite: failing to see a pattern that actually exists. Don't swap them in your exam!
The 'Klugscheißer' Factor
Using this in a bar might make you look like a `Klugscheißer` (know-it-all). Only use it if your friends are fellow nerds.
Ejemplos
6Ein Typ-I-Fehler liegt vor, wenn die Nullhypothese fälschlicherweise verworfen wird.
A Type I error occurs when the null hypothesis is wrongly rejected.
This is the most standard, textbook way to complete the phrase.
Wir müssen sicherstellen, dass kein Typ-I-Fehler vorliegt, bevor wir die Diagnose stellen.
We must ensure no Type I error exists before making the diagnosis.
Used here to emphasize the need for accuracy in testing.
Ich dachte, er flirtet mit mir, aber es war wohl nur ein Typ-I-Fehler meiner Wahrnehmung.
I thought he was flirting with me, but it was probably just a Type I error of my perception.
A geeky way to say you misread someone's signals.
Hast du den Typ-I-Fehler in der Berechnung der Nullhypothese gefunden?
Did you find the Type I error in the calculation of the null hypothesis?
Casual interaction between students using technical jargon.
Ein Typ-I-Fehler liegt vor, wenn die Nullhypothese eines stabilen Marktes ohne Grund abgelehnt wird.
A Type I error occurs when the null hypothesis of a stable market is rejected without reason.
Applying statistical logic to market analysis.
Deine Theorie klingt nach einem klassischen Typ-I-Fehler: Du siehst Muster, wo keine sind.
Your theory sounds like a classic Type I error: you see patterns where there are none.
A sharp, intellectual way to debunk an argument.
Ponte a prueba
Complete the definition of a Type I error.
Ein Typ-I-Fehler liegt vor, wenn die Nullhypothese fälschlicherweise ___ wird.
In a Type I error, you 'reject' (verwerfen) the null hypothesis even though it is true.
Choose the correct preposition to complete the phrase.
Ein Typ-I-Fehler liegt ___, wenn die Nullhypothese...
The verb 'vorliegen' means to exist or be present in this context.
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Formality of 'Ein Typ-I-Fehler liegt vor...'
Using 'falscher Alarm' or 'Irrtum'.
Das war ein falscher Alarm.
Using 'falsch-positiv' in conversation.
Das Ergebnis ist falsch-positiv.
The full statistical definition.
Ein Typ-I-Fehler liegt vor, wenn...
Where to use 'Typ-I-Fehler'
Statistics Exam
Defining errors in a test.
Lab Report
Explaining why data might be misleading.
Data Science Job
Discussing algorithm accuracy.
Intellectual Debate
Calling out a logical fallacy.
Preguntas frecuentes
10 preguntasIt means 'exists' or 'is present'. In German, we say a mistake liegt vor when we are identifying it formally.
Mostly, yes. It is used in statistics, medicine, and social sciences. You won't hear it in a literature class unless they are analyzing data.
The most common ending is ...fälschlicherweise abgelehnt wird or ...fälschlicherweise verworfen wird.
Technically yes, but people usually just say falsch-positiv. Using the full phrase sounds very academic.
It is the starting assumption that there is no effect or no change. For example: 'This medicine does nothing'.
Yes, you can just say Fehler erster Art. It means exactly the same thing but is slightly shorter.
Because it requires understanding specific academic structures and the passive voice (wird verworfen).
Only in data-driven departments like Marketing Analytics or Quality Control. It is not common in general management.
It is a Typ-II-Fehler or Fehler zweiter Art. It happens when you miss a real effect.
Usually ein when defining it, but der if you are talking about a specific error you just found in your data.
Frases relacionadas
Signifikanzniveau
Irrtumswahrscheinlichkeit
Falsch-positiv
Ablehnungsbereich
Statistische Relevanz
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