C1 Expression بسیار رسمی 3 دقیقه مطالعه

Eine Welch-Korrektur wurde vorgenommen aufgrund

A Welch correction was applied due to

به‌طور تحت‌اللفظی: A Welch-correction was performed on the basis of

Use this phrase in formal research to justify adjusting your statistics for unequal data variances.

در ۱۵ ثانیه

  • Used in academic writing for statistical data analysis.
  • Explains a specific adjustment for unequal data groups.
  • Requires the genitive case after the word 'aufgrund'.

معنی

This phrase explains that you adjusted a statistical test because your data groups were too different from each other. It shows you are being mathematically honest about your results.

مثال‌های کلیدی

3 از 6
1

Writing a Master's thesis

Eine Welch-Korrektur wurde vorgenommen aufgrund der ungleichen Varianzen in den Stichproben.

A Welch correction was applied due to the unequal variances in the samples.

💼
2

Presenting data to a supervisor

Wie Sie sehen, wurde eine Welch-Korrektur vorgenommen aufgrund der Varianzheterogenität.

As you can see, a Welch correction was applied due to variance heterogeneity.

👔
3

Texting a fellow PhD student

Die Daten sind total chaotisch, eine Welch-Korrektur wurde vorgenommen aufgrund des Rauschens.

The data is totally chaotic; a Welch correction was applied due to the noise.

😊
🌍

زمینه فرهنگی

In Germany, 'Wissenschaftlichkeit' (scientific rigor) is a point of national pride. Academic writing follows very strict, almost ritualistic formulas to ensure maximum objectivity. Using specific terms like 'Welch-Korrektur' signals that the researcher has reached the C1/C2 level of professional integration.

💡

The Genitive Secret

Always follow 'aufgrund' with the genitive case. Say 'aufgrund der Varianz' instead of 'aufgrund die Varianz' to sound like a native expert.

⚠️

Don't be too 'Active'

Avoid saying 'Ich habe eine Welch-Korrektur gemacht'. In German science, the passive voice 'wurde vorgenommen' is much more respected.

در ۱۵ ثانیه

  • Used in academic writing for statistical data analysis.
  • Explains a specific adjustment for unequal data groups.
  • Requires the genitive case after the word 'aufgrund'.

What It Means

Imagine you are comparing two groups of data. Maybe you are testing different coffee brands. One group is very consistent. The other group is all over the place. In statistics, we call this unequal variance. You cannot use a standard t-test here. You need a special adjustment. This is the Welch-Korrektur. It makes your results honest and reliable. It tells the reader you did your homework. It is a sign of high-quality data analysis.

How To Use It

This phrase is a classic Baustein or building block. You usually find it in the methods section. It follows a very specific structure. You start with the action: Eine Welch-Korrektur wurde vorgenommen. Then you give the reason using aufgrund. Remember that aufgrund loves the genitive case. You will almost always say aufgrund ungleicher Varianzen. It sounds very professional and polished. Using the passive voice here is key. It keeps the focus on the science, not you.

When To Use It

Use this when you are writing for experts. It belongs in your Master's thesis. It is perfect for a lab report. If you are presenting at a conference, say it proudly. It shows you understand the nuances of your data. It is perfect for any wissenschaftliche Arbeit. Even in a serious business meeting, it fits. It signals that you are a serious professional. It shows you care about accuracy.

When NOT To Use It

Please do not use this at a party. Your friends will look at you very strangely. It is too heavy for casual chats. Do not use it when buying groceries either. I bought apples due to a Welch correction makes no sense. It is strictly for the world of numbers. Keep it out of your Tinder bio too. Unless you want to date a mathematician! It is far too formal for texting your mom.

Cultural Background

Germans love Gründlichkeit or thoroughness. In German universities, the method is everything. If your method is weak, your argument falls. The Welch-Korrektur is a symbol of this rigor. It reflects a culture that values objective truth. It is about being korrekt in every sense. In Germany, being precise is a form of respect. You respect the data and your audience.

Common Variations

You might see Der Welch-Test wurde angewandt. Sometimes people say Infolge von Varianzheterogenität. You could also use Da die Varianzen ungleich waren. But the original phrase is the most elegant version. It uses the passive voice perfectly. This is the king of German scientific writing. It sounds much more objective than saying I corrected it.

نکات کاربردی

This is a highly specialized academic phrase. It is almost exclusively used in the passive voice to maintain scientific objectivity.

💡

The Genitive Secret

Always follow 'aufgrund' with the genitive case. Say 'aufgrund der Varianz' instead of 'aufgrund die Varianz' to sound like a native expert.

⚠️

Don't be too 'Active'

Avoid saying 'Ich habe eine Welch-Korrektur gemacht'. In German science, the passive voice 'wurde vorgenommen' is much more respected.

💬

The 'Welch' Factor

This is named after Bernard Lewis Welch. Using the name correctly shows you aren't just doing math, you know the history of the field.

مثال‌ها

6
#1 Writing a Master's thesis
💼

Eine Welch-Korrektur wurde vorgenommen aufgrund der ungleichen Varianzen in den Stichproben.

A Welch correction was applied due to the unequal variances in the samples.

This is the standard way to use the phrase in academia.

#2 Presenting data to a supervisor
👔

Wie Sie sehen, wurde eine Welch-Korrektur vorgenommen aufgrund der Varianzheterogenität.

As you can see, a Welch correction was applied due to variance heterogeneity.

Using the technical term 'Varianzheterogenität' adds extra professional weight.

#3 Texting a fellow PhD student
😊

Die Daten sind total chaotisch, eine Welch-Korrektur wurde vorgenommen aufgrund des Rauschens.

The data is totally chaotic; a Welch correction was applied due to the noise.

Even in a text, the formal phrase shows the gravity of the data issue.

#4 Explaining a graph in a meeting
💼

Eine Welch-Korrektur wurde vorgenommen aufgrund der Ausreißer in Gruppe B.

A Welch correction was applied due to the outliers in Group B.

This explains why the results might look different than expected.

#5 A humorous academic joke
😄

Eine Welch-Korrektur wurde vorgenommen aufgrund deiner extremen Stimmungsschwankungen!

A Welch correction was applied due to your extreme mood swings!

Using high-level math to describe a friend's mood is peak nerd humor.

#6 Feeling relieved after finishing analysis
💭

Endlich fertig! Eine Welch-Korrektur wurde vorgenommen aufgrund der Fehler, und jetzt passt alles.

Finally done! A Welch correction was applied due to the errors, and now everything fits.

The formal phrase contrasts with the emotional 'Endlich fertig!'.

خودت رو بسنج

Complete the formal sentence using the correct prepositional grammar.

Eine Welch-Korrektur wurde vorgenommen ___ der ungleichen Varianzen.

✓ درسته! ✗ نه دقیقاً. پاسخ صحیح: aufgrund

'Aufgrund' is the standard formal choice in scientific German for providing a reason.

Choose the correct verb to complete the passive construction.

Eine Welch-Korrektur wurde ___ aufgrund technischer Probleme.

✓ درسته! ✗ نه دقیقاً. پاسخ صحیح: vorgenommen

'Vorgenommen' is the high-level formal verb used for performing actions or corrections.

🎉 امتیاز: /2

ابزارهای بصری یادگیری

Formality Level of Welch-Korrektur

Informal

Talking to friends about dinner.

N/A

Neutral

Explaining a basic math problem.

Ich habe das korrigiert.

Formal

Business report or presentation.

Wir haben eine Korrektur durchgeführt.

Academic

Scientific paper or thesis.

Eine Welch-Korrektur wurde vorgenommen aufgrund...

Where to use the Welch-Korrektur phrase

Welch-Korrektur
🎓

University Thesis

In the methodology section.

🔬

Science Journal

In a peer-reviewed article.

📊

Data Meeting

Explaining statistical bias.

🤓

Nerd Humor

Teasing a fellow scientist.

سوالات متداول

10 سوال

It comes from vornehmen, which means to carry out or perform. In this context, it means the correction was executed.

Only if you are talking to other data scientists. Otherwise, it sounds way too stiff and robotic for a coffee chat.

Yes, in German, when you combine a proper name with a noun, you use a hyphen to link them correctly.

Aufgrund is significantly more formal. While both take the genitive, aufgrund is preferred in academic writing.

Yes, aufgrund is a preposition that requires an object. You must explain what caused the correction.

Only in data-heavy fields like finance or market research. It is not common in general management meetings.

No, passierte (happened) sounds accidental. Wurde vorgenommen shows it was a deliberate, professional choice.

It is the fancy German word for 'unequal variances'. It is the most common reason to use a Welch correction.

Yes, because it involves complex passive structures and specific academic vocabulary used in professional settings.

Yes, durchgeführt is a perfect synonym. Both are very common in scientific German.

عبارات مرتبط

Statistisch signifikant

Statistically significant

Die Standardabweichung

The standard deviation

Varianzheterogenität

Heterogeneity of variance

In Betracht ziehen

To take into consideration

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