C1 Expression Muito formal 5 min de leitura

Multikollinearität wurde diagnostiziert anhand von

Multicollinearity was diagnosed using

Literalmente: {"Multikollinearit\u00e4t":"Multicollinearity","wurde":"was","diagnostiziert":"diagnosed","anhand":"by means of \/ using","von":"of"}

Em 15 segundos

  • Reports multicollinearity detection.
  • Used in statistics and data science.
  • Specifies the diagnostic method used.
  • Highly technical and formal language.

Significado

Esta frase é usada em ciência de dados e estatística para explicar que um erro específico - onde as variáveis são muito semelhantes - foi identificado usando um método particular.

Exemplos-chave

3 de 12
1

Academic paper submission

Für das entwickelte ökonometrische Modell wurde Multikollinearität anhand von VIF-Werten diagnostiziert.

For the developed econometric model, multicollinearity was diagnosed using VIF values.

<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>
2

Technical report for a client

Die Analyse der Kundendaten ergab, dass Multikollinearität anhand von Korrelationsmatrizen diagnostiziert wurde, was die Interpretation der Einflussfaktoren erschwert.

The analysis of customer data revealed that multicollinearity was diagnosed using correlation matrices, which complicates the interpretation of influencing factors.

<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>
3

Doctoral thesis defense

Im Rahmen dieser Arbeit wurde Multikollinearität anhand von Eigenwertanalysen diagnostiziert und anschließend durch Variableneliminierung behoben.

In the context of this work, multicollinearity was diagnosed using eigenvalue analyses and subsequently resolved through variable elimination.

<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>
🌍

Contexto cultural

This phrase originates from the specialized language of statistics and econometrics, fields that gained prominence in the mid-20th century with the rise of computational power and large datasets. Its existence is driven by the need for precise, unambiguous reporting of complex analytical findings. In academic and research cultures, especially in German-speaking countries with a strong tradition in scientific rigor, such exact phrasing is crucial for reproducibility and clear communication among experts. It reflects a value placed on meticulousness and objective reporting of results.

💡

Be Specific with Your Method!

The `anhand von` part is key. Don't just say it was diagnosed; name the tool! VIF, correlation matrix, PCA – specifying makes your report credible.

⚠️

Avoid This Embarrassing Mistake!

Never, ever use this phrase in casual conversation. Imagine telling your grandma, 'Multikollinearität wurde diagnostiziert anhand von deiner Suppe!' She'd think you've lost it (or maybe she's just *that* influential on your data!).

Em 15 segundos

  • Reports multicollinearity detection.
  • Used in statistics and data science.
  • Specifies the diagnostic method used.
  • Highly technical and formal language.

What It Means

This phrase signals that a statistical hiccup has been spotted. The issue is Multikollinearität, which is a fancy term for when two or more predictor variables in a model are highly correlated. Think of them as twins who always finish each other's sentences – they're too similar! It means the model might struggle to tell them apart or understand their individual impacts. The phrase wurde diagnostiziert anhand von tells you *how* this problem was found. It's like saying 'It was diagnosed using X method.' It’s a formal way to report a finding after some investigation.

How To Use It

You'll typically use this in reports, academic papers, or technical discussions about data analysis. It's the kind of sentence you'd find in a research paper's methodology section. Imagine you're explaining your findings from a big data project. You might say, 'The initial model showed issues, and Multikollinearität wurde diagnostiziert anhand von a Variance Inflation Factor (VIF) analysis.' It clearly states the problem and the tool used to find it. It’s not for casual chats, but for precise reporting.

Formality & Register

This is definitely a formal phrase. You wouldn't text your friend about it unless you were both data scientists joking around. It belongs in academic journals, theses, dissertations, and professional reports. Think of professors grading papers or data analysts presenting findings to stakeholders. The vibe is serious, objective, and technical. It's the opposite of 'Oops, my bad!' It’s more like, 'A significant analytical challenge was identified and quantified.'

Real-Life Examples

Imagine a study on factors affecting house prices. Researchers might find that square_footage and number_of_rooms are super similar. They'd then write: 'Multikollinearität wurde diagnostiziert anhand von Korrelationskoeffizienten.' Or, in a medical study predicting disease risk, if blood_pressure and arterial_stiffness are almost the same, the report might state: 'Multikollinearität wurde diagnostiziert anhand von Principal Component Analysis (PCA).' It’s all about pinpointing issues in complex datasets.

When To Use It

Use this when you need to formally report the detection of multicollinearity. It’s perfect for statistical reports, research papers, and technical documentation. If you've run tests like VIF, correlation matrices, or eigenvalue analysis, and they revealed this issue, this is your phrase. It’s also useful when explaining *why* a model's results might be unstable or unreliable. Think of it as a formal 'We found a problem!' announcement.

When NOT To Use It

Leave this phrase out of casual conversations, social media posts, or everyday emails. It's far too technical and stiff for chatting with friends or family. Don't use it if you're just talking about general correlations in everyday life, like how rainy weather and good moods don't always go together. It’s specifically for statistical modeling contexts. Using it elsewhere would be like wearing a tuxedo to a beach party – just doesn't fit!

Common Mistakes

The biggest mistake is using this phrase in informal settings. It sounds incredibly out of place! Another error is forgetting to mention *what* was used to diagnose it. The anhand von part is crucial. Simply saying Multikollinearität wurde diagnostiziert is incomplete. You need to specify the method. Also, mixing it with informal language is a no-go.

Multikollinearität wurde diagnostiziert anhand von, wie wir dachten.

Multikollinearität wurde diagnostiziert anhand von einer VIF-Analyse.

Multikollinearität wurde diagnostiziert anhand von der Wettervorhersage.

Multikollinearität wurde diagnostiziert anhand von der Regressionsanalyse.

Common Variations

While the core phrase is quite specific, related ways to express the idea exist. You might see:

  • Das Problem der Multikollinearität wurde mittels [...] aufgedeckt. (The problem of multicollinearity was uncovered by means of [...].)
  • Mittels [...] konnte Multikollinearität festgestellt werden. (By means of [...], multicollinearity could be determined.)
  • Die Analyse ergab Anzeichen von Multikollinearität durch [...] (The analysis revealed signs of multicollinearity through [...].)

These variations might slightly shift the emphasis or formality but convey the same core message: a problem was found using a specific method.

Real Conversations

Data Scientist 1: 'Hey, I've been running the regression model for customer churn.'

Data Scientist 2: 'Any issues?'

Data Scientist 1: 'Yeah, the coefficients are all over the place. Multikollinearität wurde diagnostiziert anhand von der Korrelationsmatrix. Looks like 'monthly_spend' and 'average_transaction_value' are too similar.'

Data Scientist 2: 'Ah, classic twin variables. We'll need to address that before finalizing the report.'

Quick FAQ

  • What's the main point? It's a formal way to say multicollinearity was found using a specific method.
  • Is it casual? Absolutely not! Very academic/technical.
  • Can I use it in a blog post? Only if the blog is highly technical, like a data science journal.
  • What does anhand von mean here? It means 'using' or 'by means of'.
  • Why is multicollinearity bad? It makes it hard to trust individual variable effects in a model.

Notas de uso

This phrase is exclusively used in highly formal, technical, and academic contexts, specifically within statistics and data science. Its use implies a rigorous analytical process has been completed and its findings are being reported objectively. Avoid any hint of casualness; the passive voice and specific terminology are key.

💡

Be Specific with Your Method!

The `anhand von` part is key. Don't just say it was diagnosed; name the tool! VIF, correlation matrix, PCA – specifying makes your report credible.

⚠️

Avoid This Embarrassing Mistake!

Never, ever use this phrase in casual conversation. Imagine telling your grandma, 'Multikollinearität wurde diagnostiziert anhand von deiner Suppe!' She'd think you've lost it (or maybe she's just *that* influential on your data!).

🎯

Passive Voice is Your Friend

The phrase uses the passive voice (`wurde diagnostiziert`). This is common in formal German writing to sound objective and focus on the finding, not the person who found it.

💬

German Precision in Science

This phrase embodies the German academic value of precision. In fields like statistics, clarity and exactness are paramount. Using such specific terminology shows you understand the nuances and respect the scientific process.

Exemplos

12
#1 Academic paper submission
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Für das entwickelte ökonometrische Modell wurde Multikollinearität anhand von VIF-Werten diagnostiziert.

For the developed econometric model, multicollinearity was diagnosed using VIF values.

Here, `anhand von VIF-Werten` clearly states the method used to detect the statistical issue.

#2 Technical report for a client
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Die Analyse der Kundendaten ergab, dass Multikollinearität anhand von Korrelationsmatrizen diagnostiziert wurde, was die Interpretation der Einflussfaktoren erschwert.

The analysis of customer data revealed that multicollinearity was diagnosed using correlation matrices, which complicates the interpretation of influencing factors.

This example explains the consequence of the diagnosed issue, making the report more informative.

#3 Doctoral thesis defense
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Im Rahmen dieser Arbeit wurde Multikollinearität anhand von Eigenwertanalysen diagnostiziert und anschließend durch Variableneliminierung behoben.

In the context of this work, multicollinearity was diagnosed using eigenvalue analyses and subsequently resolved through variable elimination.

Shows the phrase used to report a problem and the subsequent action taken.

#4 Data science team meeting (internal)
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Okay team, regarding the user engagement model: Multikollinearität wurde diagnostiziert anhand von der Faktoranalyse, die wir gestern liefen.

Okay team, regarding the user engagement model: Multicollinearity was diagnosed using the factor analysis we ran yesterday.

Slightly more conversational for an internal meeting, but still uses the formal structure.

#5 Instagram caption (humorous, for data scientists)
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M14.828 14.828a4 4 0 01-5.656 0M9 10h.01M15 10h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"/></svg>

Mein Modell hat heute Morgen geschrien: 'Hilfe, Multikollinearität wurde diagnostiziert anhand von... meinen Zwillingen!' 📊😂 #DataScienceLife #StatistikHumor

My model screamed this morning: 'Help, multicollinearity was diagnosed using... my twins!' 📊😂 #DataScienceLife #StatisticsHumor

A humorous take, personifying the model and using the phrase in a relatable (for the niche) context.

#6 Email to a professor about thesis progress
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Sehr geehrte Frau Professorin Müller, ich schreibe Ihnen bezüglich meiner Regressionsanalyse. Es scheint, als ob Multikollinearität anhand von einer ersten Überprüfung diagnostiziert wurde, und ich würde gerne Ihre Meinung dazu hören.

Dear Professor Müller, I am writing to you regarding my regression analysis. It appears that multicollinearity was diagnosed using an initial check, and I would like to hear your opinion on it.

Used to report a potential issue and seek expert advice, maintaining a formal tone.

#7 Texting a colleague (jokingly formal)
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M14.828 14.828a4 4 0 01-5.656 0M9 10h.01M15 10h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"/></svg>

OMG, mein Code hat gerade verkündet: Multikollinearität wurde diagnostiziert anhand von... meinem Kaffee-Konsum! ☕️😂 Muss wohl doch mehr schlafen.

OMG, my code just announced: Multicollinearity was diagnosed using... my coffee consumption! ☕️😂 Guess I need more sleep.

An exaggerated, humorous use in a text message, playing on the formal structure for comedic effect.

#8 Mistake: Using in a casual context
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M14.828 14.828a4 4 0 01-5.656 0M9 10h.01M15 10h.01M21 12a9 9 0 11-18 0 9 9 0 0118 0z"/></svg>

✗ Ich habe meinem Hund einen Namen gegeben, und Multikollinearität wurde diagnostiziert anhand von seiner Reaktion.

✗ I named my dog, and multicollinearity was diagnosed using his reaction.

This is a misuse of the phrase; it's for statistical issues, not pet behavior.

#9 Mistake: Incomplete diagnosis method
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

✗ Die Studie zeigte, dass Multikollinearität wurde diagnostiziert anhand von.

✗ The study showed that multicollinearity was diagnosed using.

The phrase `anhand von` requires an object specifying the method. This sentence is grammatically incomplete and unclear.

#10 Explaining a complex research finding
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Die unerwarteten Ergebnisse in der Vorhersage des Aktienmarktes erklären sich dadurch, dass Multikollinearität anhand von Zeitreihenanalysen diagnostiziert wurde.

The unexpected results in the stock market prediction are explained by the fact that multicollinearity was diagnosed using time series analyses.

Connects the statistical finding directly to the observed outcome in a formal explanation.

#11 Internal company memo about data quality
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Wichtiger Hinweis: Bei der letzten Datenbereinigung wurde Multikollinearität anhand von automatisierten Skripten diagnostiziert. Bitte beachten Sie dies bei der Modellierung.

Important note: During the last data cleaning, multicollinearity was diagnosed using automated scripts. Please consider this in your modeling.

A concise, professional announcement for colleagues regarding data issues.

#12 Response in a Q&A session at a conference
<svg class="w-5 h-5" fill="none" stroke="currentColor" viewBox="0 0 24 24" aria-hidden="true"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M21 13.255A23.931 23.931 0 0112 15c-3.183 0-6.22-.62-9-1.745M16 6V4a2 2 0 00-2-2h-4a2 2 0 00-2 2v2m4 6h.01M5 20h14a2 2 0 002-2V8a2 2 0 00-2-2H5a2 2 0 00-2 2v10a2 2 0 002 2z"/></svg>

Auf Ihre Frage, warum die Modellgenauigkeit schwankte: Multikollinearität wurde diagnostiziert anhand von einer Überlappung der erklärenden Variablen, was wir nun korrigieren.

To your question about why the model accuracy fluctuated: Multicollinearity was diagnosed using an overlap of the explanatory variables, which we are now correcting.

Directly addresses a question, providing a technical reason and outlining the next steps.

Teste-se

Fill in the blank with the correct phrase.

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde diagnostiziert anhand von

This sentence requires the full phrase to explain that multicollinearity was diagnosed using regression analysis.

Choose the sentence that uses the phrase correctly.

Which sentence correctly uses the phrase to report a statistical finding?

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde diagnostiziert anhand von einer VIF-Analyse.

This option correctly pairs the statistical issue (Multikollinearität) with a valid diagnostic method (VIF-Analyse) in a formal context.

Find and fix the error in the sentence.

✓ Correto! ✗ Quase. Resposta certa:

The conjunction 'das' (that) should be 'dass' to correctly introduce the subordinate clause explaining what the data showed. Also, the word order 'wurde diagnostiziert anhand von' is more natural at the end of the subordinate clause.

Translate this sentence into German.

✓ Correto! ✗ Quase. Resposta certa:

This tests your ability to translate the specific statistical concept and the diagnostic method into formal German.

Complete the sentence with the appropriate technical term and diagnostic method.

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde anhand von

This requires identifying 'Multikollinearität' as the issue and 'anhand von' as the connector to the diagnostic method.

Find and fix the error in the sentence.

✓ Correto! ✗ Quase. Resposta certa:

The sentence structure needs adjustment. The phrase 'In der Studie' acts as an introductory phrase, and the main clause follows. The definite article for 'Analyse' should be 'der' (genitive case after 'anhand') and the verb 'wurde' should precede 'Multikollinearität' for better flow in this structure.

Put the words in the correct order to form a meaningful sentence.

✓ Correto! ✗ Quase. Resposta certa:

This exercise helps practice the typical word order for reporting this statistical diagnosis.

Choose the sentence that uses the phrase correctly in a formal context.

Which sentence is the most appropriate for a scientific paper?

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde diagnostiziert anhand von der Prüfung der Kovarianzen.

This option uses formal language and a relevant statistical method ('Prüfung der Kovarianzen').

Translate this sentence into German.

✓ Correto! ✗ Quase. Resposta certa:

This tests the translation of a specific statistical term ('eigenvalues') within the required phrase structure.

Find and fix the error in the sentence.

✓ Correto! ✗ Quase. Resposta certa:

The original sentence is grammatically awkward. This corrected version integrates the phrase into a more complex sentence structure, clarifying the relationship between the method and the diagnosis. It highlights that the phrase itself can be part of a larger, more descriptive sentence.

Arrange the words into a grammatically correct and meaningful sentence.

✓ Correto! ✗ Quase. Resposta certa:

This requires understanding the full phrase and correctly placing the specific diagnostic method ('der VIF-Analyse') after 'anhand von'.

Match the German phrase with its English meaning.

✓ Correto! ✗ Quase. Resposta certa:

This exercise helps reinforce the core phrase and related technical terms.

🎉 Pontuação: /12

Recursos visuais

Formality Spectrum for 'Multikollinearität wurde diagnostiziert anhand von'

Very Casual

Absolutely not suitable.

Nah, way too technical!

Casual

Still too formal and technical for everyday chat.

My text about coffee and code.

Neutral

Might appear in a highly technical blog, but usually too stiff.

A data science blog post about model issues.

Formal

Standard usage in professional reports and academic papers.

Multikollinearität wurde diagnostiziert anhand von VIF-Werten.

Very Formal

Essential for precise communication in research and advanced technical contexts.

Im Rahmen dieser Arbeit wurde Multikollinearität anhand von Eigenwertanalysen diagnostiziert.

Where You'll Encounter 'Multikollinearität wurde diagnostiziert anhand von'

Statistical Analysis Reporting
🎓

Academic Research Paper

The study found multicollinearity using correlation coefficients.

📈

Econometrics Thesis

Multicollinearity was diagnosed using VIF values.

💻

Data Science Project Report

Our model analysis revealed multicollinearity via factor analysis.

📄

Technical Documentation

The software identified multicollinearity using statistical tests.

🎤

Conference Presentation (Q&A)

Why did the model fail? Multicollinearity was diagnosed using...

🤝

Internal Technical Meeting

Team, multicollinearity was diagnosed using PCA.

Comparing 'Diagnostiziert anhand von' with Similar Phrases

Multikollinearität wurde diagnostiziert anhand von
Multikollinearität Multicollinearity
wurde diagnostiziert was diagnosed
anhand von using / by means of
Das Problem wurde mittels [...] erkannt
Das Problem The problem
wurde erkannt was recognized / detected
mittels by means of / via
[...] zeigte Multikollinearität
[...] The analysis / The results
zeigte showed
Multikollinearität Multicollinearity

Usage Scenarios for the Phrase

📚

Academic Contexts

  • Thesis Methodology
  • Research Paper Results
  • Conference Proceedings
💼

Professional Settings

  • Client Reports
  • Internal Technical Memos
  • Project Documentation
🛠️

Specific Methods Mentioned

  • VIF Analysis
  • Correlation Matrix
  • Eigenvalue Decomposition
📢

Reporting Findings

  • Identifying Issues
  • Explaining Model Instability
  • Justifying Data Preprocessing

Banco de exercicios

12 exercicios
Fill in the blank with the correct phrase. Fill Blank beginner

Im statistischen Modell wurde `___` `___` `___` `___` einer Regressionsanalyse diagnostiziert.

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde diagnostiziert anhand von

This sentence requires the full phrase to explain that multicollinearity was diagnosed using regression analysis.

Choose the sentence that uses the phrase correctly. Choose intermediate

Which sentence correctly uses the phrase to report a statistical finding?

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde diagnostiziert anhand von einer VIF-Analyse.

This option correctly pairs the statistical issue (Multikollinearität) with a valid diagnostic method (VIF-Analyse) in a formal context.

Find and fix the error in the sentence. Error Fix intermediate

Encontre e corrija o erro:

Die Daten zeigten, das Multikollinearität wurde diagnostiziert anhand von Korrelationen.

✓ Correto! ✗ Quase. Resposta certa: Die Daten zeigten, dass Multikollinearität anhand von Korrelationen diagnostiziert wurde.

The conjunction 'das' (that) should be 'dass' to correctly introduce the subordinate clause explaining what the data showed. Also, the word order 'wurde diagnostiziert anhand von' is more natural at the end of the subordinate clause.

Translate this sentence into German. Traduzir advanced

Multicollinearity was diagnosed using a correlation matrix.

Dicas: Remember the passive voice for 'was diagnosed'., `anhand von` means 'using' or 'by means of'.

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde anhand von einer Korrelationsmatrix diagnostiziert.

This tests your ability to translate the specific statistical concept and the diagnostic method into formal German.

Complete the sentence with the appropriate technical term and diagnostic method. Fill Blank intermediate

Es wurde festgestellt, dass `___` `___` `___` `___` einer Hauptkomponentenanalyse diagnostiziert wurde.

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde anhand von

This requires identifying 'Multikollinearität' as the issue and 'anhand von' as the connector to the diagnostic method.

Find and fix the error in the sentence. Error Fix advanced

Encontre e corrija o erro:

In der Studie, Multikollinearität wurde diagnostiziert anhand von der Analyse der Residuen.

✓ Correto! ✗ Quase. Resposta certa: In der Studie wurde Multikollinearität anhand der Analyse der Residuen diagnostiziert.

The sentence structure needs adjustment. The phrase 'In der Studie' acts as an introductory phrase, and the main clause follows. The definite article for 'Analyse' should be 'der' (genitive case after 'anhand') and the verb 'wurde' should precede 'Multikollinearität' for better flow in this structure.

Put the words in the correct order to form a meaningful sentence. Reorder intermediate

Organize as palavras na ordem correta:

Clique nas palavras acima para construir a frase

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde anhand von diagnostiziert.

This exercise helps practice the typical word order for reporting this statistical diagnosis.

Choose the sentence that uses the phrase correctly in a formal context. Choose intermediate

Which sentence is the most appropriate for a scientific paper?

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde diagnostiziert anhand von der Prüfung der Kovarianzen.

This option uses formal language and a relevant statistical method ('Prüfung der Kovarianzen').

Translate this sentence into German. Traduzir advanced

Multicollinearity was diagnosed using eigenvalues.

Dicas: Eigenvalues are called 'Eigenwerte' in German., Ensure the passive voice and correct prepositional phrase.

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde anhand von Eigenwerten diagnostiziert.

This tests the translation of a specific statistical term ('eigenvalues') within the required phrase structure.

Find and fix the error in the sentence. Error Fix advanced

Encontre e corrija o erro:

Die Methode, Multikollinearität wurde diagnostiziert anhand von der Analyse von Residualplots.

✓ Correto! ✗ Quase. Resposta certa: Die Methode, mit der Multikollinearität anhand der Analyse von Residualplots diagnostiziert wurde, ist komplex.

The original sentence is grammatically awkward. This corrected version integrates the phrase into a more complex sentence structure, clarifying the relationship between the method and the diagnosis. It highlights that the phrase itself can be part of a larger, more descriptive sentence.

Arrange the words into a grammatically correct and meaningful sentence. Reorder advanced

Organize as palavras na ordem correta:

Clique nas palavras acima para construir a frase

✓ Correto! ✗ Quase. Resposta certa: Multikollinearität wurde anhand von der VIF-Analyse diagnostiziert.

This requires understanding the full phrase and correctly placing the specific diagnostic method ('der VIF-Analyse') after 'anhand von'.

Match the German phrase with its English meaning. Match intermediate

Combine cada item a esquerda com seu par a direita:

✓ Correto! ✗ Quase. Resposta certa:

This exercise helps reinforce the core phrase and related technical terms.

🎉 Pontuação: /12

Perguntas frequentes

20 perguntas

Multikollinearität refers to a situation in statistics where two or more predictor variables in a regression model are highly correlated with each other. Essentially, they provide redundant information, making it difficult for the model to determine the individual effect of each variable on the outcome.

Anhand von translates to 'using', 'by means of', or 'based on'. In this context, it specifies the method or tool employed to identify the multicollinearity. It's crucial for indicating *how* the diagnosis was made, adding specificity to the report.

Absolutely not! This phrase is highly technical and belongs strictly to the domain of statistics, data science, and econometrics. You would never hear or use it in casual conversation, social media, or general discussions.

You'd use this phrase in formal reports, academic papers, theses, or technical presentations where you need to report the detection of multicollinearity. It's used when discussing the results of statistical modeling and the methods used for analysis.

Yes, but only if the job is highly technical, such as a data scientist, statistician, or quantitative analyst role. If asked about challenges faced in previous projects, you could mention, 'In a previous project, Multikollinearität wurde diagnostiziert anhand von a VIF analysis, which required us to adjust the model.'

It is extremely formal. The vocabulary ('Multikollinearität', 'diagnostiziert') and the passive voice construction place it firmly in academic and scientific writing. It's the kind of language used when precision and objectivity are paramount.

The phrase carries a neutral, objective, and serious tone. It doesn't convey emotion but rather reports a factual finding. The 'vibe' is purely technical and analytical, signaling a problem identified through rigorous methodology.

Yes, in less formal contexts (which are rare for this specific issue), you might say 'We found multicollinearity using X' or 'X showed multicollinearity'. However, for formal reporting, this exact phrase or close variations are standard.

Alternatives often involve different phrasing for 'diagnosed' or 'using'. For example, 'Das Problem der Multikollinearität wurde mittels [...] aufgedeckt' (The problem of multicollinearity was uncovered by means of [...]) or 'Mittels [...] konnte Multikollinearität festgestellt werden' (By means of [...], multicollinearity could be determined).

The core phrase itself is standard across German-speaking countries in technical contexts. Regional variations are unlikely, as scientific terminology aims for universality. However, the specific method mentioned after anhand von will vary based on the analysis performed.

If you're unsure or the method wasn't clearly documented, it's better to be slightly more general or state that the exact method needs confirmation. Avoid guessing. You could say something like, 'Initial analysis indicated potential multicollinearity,' rather than using this specific phrase inaccurately.

Once multicollinearity is diagnosed, statisticians typically take steps to address it. This might involve removing one of the correlated variables, combining variables, using specialized regression techniques like Ridge Regression, or collecting more data.

While 'diagnostiziert' literally means 'diagnosed' (like a medical condition), it's commonly used in German technical jargon for identifying problems or issues in systems, data, or models. It implies a careful process of detection.

A very common mistake is using the phrase in an informal setting, which sounds absurdly out of place. Another error is omitting the method after anhand von, leaving the sentence incomplete and vague, like 'Multikollinearität wurde diagnostiziert anhand von.' - Diagnosed using what?!

Multikollinearität wurde diagnostiziert anhand von meinem Gefühl.Multikollinearität wurde diagnostiziert anhand von einer Korrelationsanalyse. The first is informal and lacks a valid method; the second is formal and specifies the technique.

VIF stands for Variance Inflation Factor. It's a common metric used to detect multicollinearity. A high VIF value (often above 5 or 10) for a variable suggests it is highly correlated with other predictor variables in the model.

Multicollinearity *is* a form of high correlation, specifically among predictor variables in a statistical model. This phrase is used when that high correlation (multicollinearity) has been formally identified, often quantified using tools like correlation matrices or VIF analysis.

For this specific phrase structure, anhand von is standard. Other prepositions like mittels (by means of) can be used in related sentences, for example, 'Mittels einer VIF-Analyse wurde Multikollinearität festgestellt.' The choice depends on the desired sentence structure and formality.

Using precise, technical terms reflects a cultural value placed on accuracy and rigor in scientific and academic fields within German-speaking societies. It signals expertise and adherence to established methodologies, fostering trust and clarity among peers.

Yes, absolutely. While often associated with traditional regression, multicollinearity is a concern in various machine learning models that use linear combinations of features. Reporting its diagnosis would follow the same formal structure if needed.

Frases relacionadas

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Korrelation wurde festgestellt

related topic

Correlation was detected

This phrase is related because multicollinearity is a specific type of problematic correlation among multiple variables.

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Das Modell ist instabil

related topic

The model is unstable

Multicollinearity is a common cause of model instability, making this phrase a frequent consequence discussed alongside the diagnosis.

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Mittels einer Analyse wurde festgestellt

related topic

By means of an analysis, it was determined

This is a more general way to state that an analysis revealed something, whereas the target phrase specifies *what* was revealed (multicollinearity) and *how* (diagnosed).

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Probleme mit der Varianz

related topic

Problems with the variance

Multicollinearity directly impacts the variance of regression coefficients, so discussing variance issues is closely linked to diagnosing multicollinearity.

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Die Einflussfaktoren sind unklar

related topic

The influencing factors are unclear

A key consequence of multicollinearity is the inability to clearly determine the individual influence of correlated predictors, making this a related outcome.

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Die Daten sind redundant

related topic

The data are redundant

Multicollinearity implies that some predictor variables contain redundant information due to their high correlation.

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